Question

Find the x. (4 answers)
(x^2-7x+11)^8=1.

Answer 1

x²-7x+11=(1)^1/8=1

x²-7x+11-1=0

x²-7x+10=0

(x-5)(x-2)=0

x=2,5

Answer 2

Answer:

2,3,4,5

Step-by-step explanation:

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

So, x^2-7x+11 must be +1 or -1

(As both 1 & -1 powered up with any even number is +1)

So 2 Quadratic Equations can be formed

• x^2-7x+11= 1
• x^2-7x+11= -1

Solving both Quadratics will give four results 2,3,4,5