Q:

Solve each radical equation. Be sure to check your solutionsa)√(x²-5)=2b)√(x²+8x)=3

Accepted Solution

A:
Answer:a) x = 3b)x = 1,-9Step-by-step explanation:given,                      a)√(x²-5) = 2.................(1)            squaring both side in equation 1   (√(x²-5))² = 2²                    x² - 5 = 4                        x² = 9                        x = 3                     b) √(x²+8x)=3 .........................(2)squaring both side in equation 2   (√(x²+8x))² = 3²      x²+8 x = 9      x²+8 x - 9 = 0      x² + 9 x - x - 9 = 0                x(x + 9) -1 (x + 9) = 0       ( x - 1)(x + 9) = 0                   x = 1,-9