How do you solve this problem?

2x squared = 169?

I do not know if you mean 2x2, or (2x)2

I supect the latter.

(2x)^2=169

take the square root of each side.
Then divide by 2.

I meant 2x^2

what is the square root of 169 divided by 2

Well the square root of 169 is 13 and if you divide 13 by 2 you get 6.5

To solve the equation 2x^2 = 169, you need to find the value of x that satisfies the equation. Here's how you can solve it step by step:

Step 1: Divide both sides of the equation by 2 to isolate the variable:
(2x^2)/2 = 169/2
x^2 = 84.5

Step 2: Take the square root of both sides of the equation to eliminate the exponent and find the possible values of x:
√(x^2) = √84.5
x = ± √84.5

Step 3: Simplify the square root of 84.5:
x ≈ ±9.19

Therefore, the solutions to the equation 2x^2 = 169 are x ≈ 9.19 and x ≈ -9.19.