Question

Solve the equation using square roots. 2x2 = 242 A)=±121 B)±11 C)11 D)no real number soltutions

Answer 1

2x^2=242

x^2=121

x=±11

Answer 2

Answer:

Option B is correct

$\pm 11$

Step-by-step explanation:

Given the equation:-

$2x^2 = 242$

Divide both sides by 2 we have;

$x^2 = 121$

Taking square root  both sides we have;

$\sqrt[2]{x^2} =\pm \sqrt{121}$

We can write 121 as:

$121 = 11^2$

then;

$\sqrt[2]{x^2} =\pm \sqrt{(11)^2}$

Simplify:

$x = \pm 11$

Therefore, the solution for the given equations is, $\pm 11$