Question

solve the equation $-4(x - 8)^2 + 24 = 0$ using inverse operations (square root) and fill in the boxes below with the exact solution values. (for example, if your solutions turned out to be $37 pm sqrt{71}$, you would type 37 in input box 1 and 71 in input box 2) $x = \boxed{}$ $pm sqrt{\boxed{}}$ input box 1 input box 2

Explanation:

Step1: Isolate the squared term

Subtract 24 from both sides: $-4(x - 8)^2 = -24$
Divide both sides by -4: $(x - 8)^2 = 6$

Step2: Take square roots

Take the square root of both sides: $x - 8 = \pm\sqrt{6}$
Add 8 to both sides: $x = 8 \pm\sqrt{6}$

Answer:

Input Box 1: 8
Input Box 2: 6