What are the solutions to the equation 5(x-9)^2-34=-14 ?

The solutions to the equation 5(x-9)^2-34=-14 are x=11,x=7

Find the zeros of 5(x-9)^2-34=-14

The zeros of 5(x-9)^2-34=-14 are x=11,x=7

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5 (x - 9)^{2} - 34 = - 14

x = 11, x = 7

Solution steps

5 (x - 9)^{2} - 34 = - 14

Move

34

to the right side

5 (x - 9)^{2} = 20

Divide both sides by

5

(x - 9)^{2} = 4

For

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

the solutions are

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

Solve

x - 9 = 4 : x = 11

Solve

x - 9 = - 4 : x = 7

The solutions to the quadratic equation are:

x = 11, x = 7

2 x^{2} + x - 1 = 0

4 x^{2} + 208 = 0

4 x^{2} + 17 x + 18 = x^{2}

- x^{2} + 8 = 2 x

x^{2} + 4 x + 1

What are the solutions to the equation 5(x-9)^2-34=-14 ?
The solutions to the equation 5(x-9)^2-34=-14 are x=11,x=7
Find the zeros of 5(x-9)^2-34=-14
The zeros of 5(x-9)^2-34=-14 are x=11,x=7