What is the answer to (x^2-x-26)^{3/4}-2=6 ?

The answer to (x^2-x-26)^{3/4}-2=6 is x=7,x=-6

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(x^2-x-26)^{3/4}-2=6

(x^{2} - x - 26)^{\frac{3}{4}} - 2 = 6

x = 7, x = - 6

Solution steps

(x^{2} - x - 26)^{\frac{3}{4}} - 2 = 6

Move

2

to the right side

(x^{2} - x - 26)^{\frac{3}{4}} = 8

Take both sides of the equation to the power of

4 : (x^{2} - x - 26)^{3} = 4096

(x^{2} - x - 26)^{3} = 4096

Solve

(x^{2} - x - 26)^{3} = 4096 : x = 7, x = - 6

x = 7, x = - 6

Verify Solutions:

x = 7

True

, x = - 6

True

The solutions are

x = 7, x = - 6

x^{2} = 2022 + 2022 + x

y, x = - 2 - y^{2}

81 - x - x = 9

7 + x = 3

What is the answer to (x^2-x-26)^{3/4}-2=6 ?
The answer to (x^2-x-26)^{3/4}-2=6 is x=7,x=-6
Solve for x: (x^2-x-26)^{3/4}-2=6
The solution is x=7,x=-6