What are the solutions to the equation (x^2-9)2+6(x^2-9)+8=0 ?

The solutions to the equation (x^2-9)2+6(x^2-9)+8=0 are x=2sqrt(2),x=-2sqrt(2)

Find the zeros of (x^2-9)2+6(x^2-9)+8=0

The zeros of (x^2-9)2+6(x^2-9)+8=0 are x=2sqrt(2),x=-2sqrt(2)

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(x^{2} - 9) 2 + 6 (x^{2} - 9) + 8 = 0

x = 22, x = - 22

Decimal Notation

x = 2.82842 \dots, x = - 2.82842 \dots

Solution steps

(x^{2} - 9) \cdot 2 + 6 (x^{2} - 9) + 8 = 0

Move

8

to the right side

(x^{2} - 9) \cdot 2 + 6 (x^{2} - 9) = - 8

Add similar elements:

2 (x^{2} - 9) + 6 (x^{2} - 9) = 8 (x^{2} - 9)

8 (x^{2} - 9) = - 8

Divide both sides by

8

x^{2} - 9 = - 1

Move

9

to the right side

x^{2} = 8

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = 8, x = - 8

8 = 22

- 8 = - 22

x = 22, x = - 22

48 x^{2} - 48 x + 9

240 - 310

32 x^{3} - 4

(x + 5)^{2} (x + 1)^{3} + (x + 5)^{3} (x + 1)^{2}

- x^{2} > - 4

What are the solutions to the equation (x^2-9)2+6(x^2-9)+8=0 ?
The solutions to the equation (x^2-9)2+6(x^2-9)+8=0 are x=2sqrt(2),x=-2sqrt(2)
Find the zeros of (x^2-9)2+6(x^2-9)+8=0
The zeros of (x^2-9)2+6(x^2-9)+8=0 are x=2sqrt(2),x=-2sqrt(2)