Question

Solve (x+5)² =48.
a) x=3
b) x=−13
c) x=3,−13
d) x=8,−18

Answer 1

To solve the equation (x+5)² =48, take the square root of both sides. The solutions are x = -5 + 4√3 and x = -5 - 4√3.

Step-by-step explanation:

To solve the equation (x+5)² =48, you can take the square root of both sides of the equation. This gives us x+5 = ±√48. Simplifying further, x+5 = ±4√3. To isolate x, we subtract 5 from both sides of the equation. This gives us x = -5 ± 4√3. Therefore, the solutions to the equation are x = -5 + 4√3 and x = -5 - 4√3.