Question
What value of x satisfies the equation above?
- 8
- 9
- 26
- 27
Hint:
Hint:
We need to solve the given equation to find the value of x. As there is a square root involved, the first step is to find a way to remove this square root. This can be done by squaring both sides. Then the given equation turns into a simple linear equation with one variable x and thus makes it easier to find the final value.
The correct answer is: 8
We proceed in the following way,
(We make sure that both the square roots are not on the same side o the equation.)
Squaring both sides, we get
Since,
Expanding the above equation, we get
Simplifying, we have
Dividing both sides by 3, we get
x = 8
Hence, the value of x which satisfies the given equation is 8.
Thus, the correct option is A).
Note:
Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied
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?
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π is a mathematical constant with an estimated value of 3.14 (to the nearest two decimal places).
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As opposed to this, a circle's area indicates the space it occupies.
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Units like centimeters or meters are typically used to measure it.
The circle's radius is considered when applying the formula to determine the circumference of the circle.
Therefore, to calculate a circle's circumference, we must know its radius or diameter.
Therefore, the circumference of a circle formula is the circle perimeter or circumference is 2πR.
where,
R is the circle's radius.
π is a mathematical constant with an estimated value of 3.14 (to the nearest two decimal places).
