Question

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

Answer 1

a) x = 3

b)x = 1,-9

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