Which of the following values of x makes the equation 2√x+13=27

Question

true?(1 point)
Responses

49
49

16
16

9
9

25

Answer 1

To solve the equation \( 2\sqrt{x} + 13 = 27 \), we first isolate the square root term:

1. Subtract 13 from both sides: \[ 2\sqrt{x} = 27 - 13 \] \[ 2\sqrt{x} = 14 \]

2. Next, divide both sides by 2: \[ \sqrt{x} = \frac{14}{2} \] \[ \sqrt{x} = 7 \]

3. Now, square both sides to solve for \( x \): \[ x = 7^2 \] \[ x = 49 \]

Therefore, the value of \( x \) that makes the equation true is \( \boxed{49} \).