Question
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Hint:
Rearrange the equation and then solve for x.
The correct answer is: ⇒ x = -6
Complete step by step solution:
Here we have the equation ![square root of 24 minus 2 x end root equals x](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGYAAAATCAYAAABiMHgQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAf9JREFUeNpjYCAe8ADx/xGMBy2IAOL9DKNg0IHtQJwyGgyDC4gA8XsoPQoGEcgA4vVYxK2BeA0QfwLiX0B8AYijiTDPh4blNrluGpIAVLeEYBE/CMSR0IYBCGgB8VGoGL5GxDUaRgw5bhqSQAGIXwMxB5Hq5YH4Eh75mUCcTOeWDiE3DUlQAcSzSdTzA08xsxfKpncTFJubQAmkA4t4M1SOVoAq9p4HYg8SLLWEFh3ogA2aauUHIGJwuQkEzgGxOBI/EYinEGEmpX0fou3lwSKmA8TPgZiFyAAAFXcnoTkDHYBSSA6ax+gB8LmJAZro+qBsF6QcTWtA0F4VIJ4PDSgbNLl2IO4n0iJBIN4AxG5Y5PSwpNj/NE6RhNyEDHYDsT20BSdMx5yM194aaMSA+imn0OTuA7EJERYoQQNABYf8SSxytM4xhNyEDAqgTWs9EsynRsIhyt4sIP6HVO5ZAPFtIooxDWjjgIsCT1AbEOMm9H5PH52b1CTZ+w2Il0HZk4G4gYB6UCSuIqEOokeOIcVNoFy1CRqBoDr2DJ2KMpLtnQPE36Geeg1NefjAFiLU0DtiiHWTKBBvQwsQ0IjEYhpHCln2CgDxXyBeC8THKSxnBypiiHETqOm+DoilsehfTmL3gBRAkb2HoZ4oYBgFgwqYQiNGZjQoBh8IGQ2CgQUAR9HeWYHtL0cAAACSdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zcXJ0Pjxtbj4yNDwvbW4+PG1vPiYjeDIyMTI7PC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjwvbXNxcnQ+PG1vPj08L21vPjxtaT54PC9taT48L21hdGg+ZrqwCwAAAABJRU5ErkJggg==)
Now, on squaring both the sides, we get ![left parenthesis square root of 24 minus 2 x end root right parenthesis squared equals x squared](data:image/png;base64,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)
On rearranging, we have
Now, this is a quadratic equation with a = 1, b = 2, c = -24
Roots can be found with,
On solving, we get x = -6,4
Here, on substituting x = -6 or 4 in given equation we get
Hence x = -6 does not work.
Now,
Hence x = 4 works.
Hence x = -6 is an extraneous solution.
Related Questions to study
Explain the similarities between rational numbers and rational expressions ?
Explain the similarities between rational numbers and rational expressions ?
Simplify the following expression.
![open parentheses fraction numerator 2 x minus 1 over denominator x plus 3 end fraction minus fraction numerator x squared minus 4 over denominator 2 x plus 1 end fraction close parentheses space cross times space fraction numerator 2 x squared plus 7 x plus 3 over denominator x plus 2 end fraction](data:image/png;base64,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)
Simplify the following expression.
![open parentheses fraction numerator 2 x minus 1 over denominator x plus 3 end fraction minus fraction numerator x squared minus 4 over denominator 2 x plus 1 end fraction close parentheses space cross times space fraction numerator 2 x squared plus 7 x plus 3 over denominator x plus 2 end fraction](data:image/png;base64,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)
Sketch the graph of ![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2](data:image/png;base64,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)
Sketch the graph of ![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 2](data:image/png;base64,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)
Explain how you can use your graphing calculator to show that the rational expressions
and
are equivalent under a given domain. What is true about the graph
at x = 0and Why?
Explain how you can use your graphing calculator to show that the rational expressions
and
are equivalent under a given domain. What is true about the graph
at x = 0and Why?
If
then find the quotient from the following four option, when A is divided by B.
If
then find the quotient from the following four option, when A is divided by B.
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Find the extraneous solution of ![square root of 8 x plus 9 end root equals x](data:image/png;base64,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)
Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
Explain why the process of dividing by a rational number is the same as multiplying by its reciprocal.
Sketch the graph of y = 2x - 5.
Sketch the graph of y = 2x - 5.
Simplify each expressions and state the domain : ![fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction](data:image/png;base64,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)
Simplify each expressions and state the domain : ![fraction numerator x squared plus 2 x plus 1 over denominator x cubed minus 2 x squared minus 3 x end fraction](data:image/png;base64,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)
Reduce the following rational expressions to their lowest terms
![fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIQAAAAsCAYAAACkCxAkAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAA81JREFUeNrtXM1nXFEUv6LeoipEVEUXJaKqixG6qogKXVRlUaWLLCKiVFSM/A9VRlVVddNFV1XdVBcVESIiIkaoqqqoUl100X1VjRFezzFneG7vfffc9zXv4/z4MTPvzpvfOXM/zv04T6l6IzRQ0GBIBRBIhRDEV4g+8BNwRdxRPZwGPgP+AfaA28DzKe85BrwC3AUuV0i3APAS+BB4ChgAO8CjjO49CfxSQd2NRs/QuvsZ3Rv/qG8V1N1oYJd7RnPsT0O5u9QKdTygazrGqRWvVEx344HjcDvy/irwsaXsR+C5yPtV4HNDUHkC7AKXKqRbQGhRV4vcB/4CzlvK3gA+odfXKWgU3TXCBeBr4BSN94pmB9/J4SbsAK/RtHIygymqi2XUXVu8szhwAbhn+c4GtcqW6K7/DMN1bQ74lrrfJdFdPxwDZwyfX6YxOYpp4Hs1WBDC6P7DCLvequouPW6Tcxdo2jZGr3EsXouUOwvc0hy5CHwluuuHOzQt61N3ixH7rcj1gMZs07LwG4rgRbdAIBAIBAKBQFAWhMJGUyAQCAQCgaDygSwu+R4q8yaRoIHADaH7arAfICgx8E/qFPh7vRHZ2SFby+KHUdkZCzzN0y1QLB4p2x+hsw6V+QRT0X4YlZ2sL85G3uMeP+7n/6WWjDkOT1U2Bzym6Pemc3AAVzeegzxg+EHHoirnwo5Nl83OWMySI6LA84F4GCTQym2nFH4RuEmVIg/46D4gh8X5IQo89XRcwgrh0qXb6cQj4Dqz7O+UPQO23vGEM5Q0MOlua7GCyw8v1CDBJs8KkeTeLl1t35gIW888oxx28V8Nn3MzlLAyXCrQUS7dmGCzy/TDXKSsTUsWmVq+dnJ06XayWk8Qcx0zj1ZpPL5pKcPNrEq6yZKkQrh0B1rPYfMDfvZZDXIyXFrSZmr52MnVFfj27Ccx4qLciLlH3hlKvpWHq7vP8ENHG0rCHP3gY6ePrn4WFWKICTU4RHpE00UbypBZ5avbVSFahkDT9ds+fkhqp68urwrhGjKi0WzccxDyzFBKE0PYdHOGDPzejKeWNH7g2umjy3vI2KHghINeTHCTZ4ZS2si+xwi2TH7wbb1p/RB6lOPq8g4qudPOljI/hKOIDKU0FcKme51s9/VDGDObSeuHMAcf6XYmWpjCZWVMSMHH5gyzk36o/x/CUVSGEtdRXN1JFqbitGTlhzwqhPfCFKKrjXk4H9+krha5RwbqY1PZMpQ4upWyL+l2GWN/WFI/ZLZ0PexW67Sp44JsbjGwpuqx7cuJme41wA8uO9U/0FTsW3LR5zYAAAFidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93Pjxtbj44PC9tbj48bXN1cD48bWk+eDwvbWk+PG1uPjU8L21uPjwvbXN1cD48bW8+JiN4MjIxMjs8L21vPjxtbj44PC9tbj48bWk+eDwvbWk+PC9tcm93Pjxtcm93PjxtZmVuY2VkIHNlcGFyYXRvcnM9InwiPjxtcm93Pjxtbj4zPC9tbj48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+KzwvbW8+PG1uPjM8L21uPjwvbXJvdz48L21mZW5jZWQ+PG1vPig8L21vPjxtbj40PC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj40PC9tbj48bW8+KTwvbW8+PC9tcm93PjwvbWZyYWM+PC9tYXRoPgRtvEgAAAAASUVORK5CYII=)
Reduce the following rational expressions to their lowest terms
![fraction numerator 8 x to the power of 5 minus 8 x over denominator open parentheses 3 x squared plus 3 close parentheses left parenthesis 4 x plus 4 right parenthesis end fraction](data:image/png;base64,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)
Describe the error student made in multiplying and simplifying![fraction numerator x plus 2 over denominator x minus 2 end fraction cross times fraction numerator x squared minus 4 over denominator x squared plus x minus 2 end fraction](data:image/png;base64,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)
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)
Describe the error student made in multiplying and simplifying![fraction numerator x plus 2 over denominator x minus 2 end fraction cross times fraction numerator x squared minus 4 over denominator x squared plus x minus 2 end fraction](data:image/png;base64,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)
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)
The LCM of the polynomials
is.
The LCM of the polynomials
is.
Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).
The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.
Steps for determining a line's equation from two points:
Step 1: The slope formula used to calculate the slope.
Step 2: To determine the y-intercept, use the slope and one of the points (b).
Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.
Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).
The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.
Steps for determining a line's equation from two points:
Step 1: The slope formula used to calculate the slope.
Step 2: To determine the y-intercept, use the slope and one of the points (b).
Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.