is this correct?

solve: 9x^2=14

this is what i did:

i divide 9 by both sides

x^2=1.6 is this first step right

Then take the square root of both sides.

x^2=1.6

you said to take the squar root of both sides.

so is this correct

x = 1.264911

To solve the equation 9x^2 = 14, let's go through the steps together.

Step 1: Divide both sides of the equation by 9 to isolate the variable x.
Divide 9 by both sides:
9x^2 / 9 = 14 / 9
This simplifies to:
x^2 = 1.5556

Step 2: Take the square root of both sides to solve for x.
Taking the square root of both sides:
√(x^2) = √(1.5556)
This simplifies to:
x = ±1.247

It seems like you made a small mistake in your calculation. In step 2, the square root of 1.6 is approximately 1.264911, so it seems you rounded off the value incorrectly. The correct answer is x = ±1.247 (approximately).