Question

(x^2-7x+11)^8=1

can anyone please solve me this please

Answer 1

Answer:

x = -5, -2

Step-by-step explanation:

(x² + 7x + 11)⁸ = 1

x² + 7x + 11 = 1

x² + 7x + 11 -1 = 0

x² + 7x + 10 = 0

x² + 5x + 2x + 10 = 0

x(x + 5) + 2(x + 5) = 0

(x+5)(x+2) = 0

x= -5 and -2