Question

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

Answer 1

Answer:

a) x = 3

b)x = 1,-9

Step-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