Question

solve √{6 - 4x - x²} = x +4.​

Answer 1

Answer:

x = -1 , -5

Step-by-step explanation:

√{ 6 - 4x- x^2 } = x + 4

6 - 4x - x^2 = ( x + 4 )^2. [applying square term]

6 - 4x - x^2 = x^2 + 2•x•4 + 16

x^2 + 8x + 16 + x^2 + 4x -6 = 0

2x^2 + 12x + 10 = 0

x^2 + 6x + 5 = 0

x^2 + 5x + x + 5 = 0

x ( x + 5) + 1 (x + 5) = 0

( x + 5 ) ( x + 1 ) = 0

x + 5= 0. or,. x + 1 = 0

x = -5. x = -1

x = -1 , -5

Ans.