What are the solutions to the equation 2/3 (x+8)^2-66=0 ?

The solutions to the equation 2/3 (x+8)^2-66=0 are x=3sqrt(11)-8,x=-3sqrt(11)-8

Find the zeros of 2/3 (x+8)^2-66=0

The zeros of 2/3 (x+8)^2-66=0 are x=3sqrt(11)-8,x=-3sqrt(11)-8

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\frac{2}{3} (x + 8)^{2} - 66 = 0

x = 311 - 8, x = - 311 - 8

Decimal Notation

x = 1.94987 \dots, x = - 17.94987 \dots

Solution steps

\frac{2}{3} (x + 8)^{2} - 66 = 0

Move

66

to the right side

\frac{2}{3} (x + 8)^{2} = 66

Multiply both sides by

3

2 (x + 8)^{2} = 198

Divide both sides by

2

(x + 8)^{2} = 99

For

(g (x))^{2} = f (a)

the solutions are

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

Solve

x + 8 = 99 : x = 311 - 8

Solve

x + 8 = - 99 : x = - 311 - 8

The solutions to the quadratic equation are:

x = 311 - 8, x = - 311 - 8

2 x (x - 2) = x^{2} - 10

3 x^{2} + 1 = - 2 x

5 x^{2} = 405

s^{2} + 6 s + 144 = 0

2 x = x^{2} + 2

What are the solutions to the equation 2/3 (x+8)^2-66=0 ?
The solutions to the equation 2/3 (x+8)^2-66=0 are x=3sqrt(11)-8,x=-3sqrt(11)-8
Find the zeros of 2/3 (x+8)^2-66=0
The zeros of 2/3 (x+8)^2-66=0 are x=3sqrt(11)-8,x=-3sqrt(11)-8