What is the solution of 23x+4−−−−−√−9=13

Question

?(1 point)
x=

Answer 1

To solve the equation \( \sqrt{23x + 4} - 9 = 13 \), follow these steps:

1. Isolate the square root: \[ \sqrt{23x + 4} = 13 + 9 \] \[ \sqrt{23x + 4} = 22 \]

2. Square both sides: \[ 23x + 4 = 22^2 \] \[ 23x + 4 = 484 \]

3. Solve for \( x \): \[ 23x = 484 - 4 \] \[ 23x = 480 \] \[ x = \frac{480}{23} \] \[ x \approx 20.8696 \]

Thus, the solution is: \[ x = \frac{480}{23} \approx 20.87 \]