Question
Find the extraneous solution of 
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 
Now, on squaring both the sides, we get 
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.
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Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).
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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.
=1 why is a valid identity under the domain of all real numbers except 
.
