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

Option B is correct

`\pm 11`

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 √(121)`

We can write 121 as:

`121 = 11^2`

then;

`\sqrt[2]{x^2} =\pm √((11)^2)`

Simplify:

`x = \pm 11`

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