Question

Solve the given quadratic equation. x^2=121

Answer 1

Answer:

x = 11

Step-by-step explanation:

You are solving for x. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x, by rooting both sides:

√(x²) = √(121)

x = √121

x = √(11 * 11)

Note that when you have two of the same number multiplied within the root, they are squared, which makes them into a whole number.

x = √11 * √11 = 11

x = 11 is your answer.

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Answer 2

Answer:

x = 11

Step-by-step explanation:

If you have a scientific calculator, that can help you solve this problem.

To get rid of the square $(x^{2} )$ on the X value you need to perform the opposite of a square to cancel it out.

The opposite of a square is a square root $(\sqrt{x^{2} })$

So:

$\sqrt{x^{2} } = \sqrt{121}$ (the root gets rid of the power of 2)

$x = 11$ (This is your answer)