What are the solutions to the equation 2(x+3)^2-120=0 ?

The solutions to the equation 2(x+3)^2-120=0 are x=2sqrt(15)-3,x=-2sqrt(15)-3

Find the zeros of 2(x+3)^2-120=0

The zeros of 2(x+3)^2-120=0 are x=2sqrt(15)-3,x=-2sqrt(15)-3

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2 (x + 3)^{2} - 120 = 0

x = 215 - 3, x = - 215 - 3

Decimal Notation

x = 4.74596 \dots, x = - 10.74596 \dots

Solution steps

2 (x + 3)^{2} - 120 = 0

Move

120

to the right side

2 (x + 3)^{2} = 120

Divide both sides by

2

(x + 3)^{2} = 60

For

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

the solutions are

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

Solve

x + 3 = 60 : x = 215 - 3

Solve

x + 3 = - 60 : x = - 215 - 3

The solutions to the quadratic equation are:

x = 215 - 3, x = - 215 - 3

3 - 2 x^{2} = 0

14 x^{2} + 35 x = 0

x^{2} + 8 x + 10

x^{2} + 8 x + 14

x^{2} + 8 x + 16

What are the solutions to the equation 2(x+3)^2-120=0 ?
The solutions to the equation 2(x+3)^2-120=0 are x=2sqrt(15)-3,x=-2sqrt(15)-3
Find the zeros of 2(x+3)^2-120=0
The zeros of 2(x+3)^2-120=0 are x=2sqrt(15)-3,x=-2sqrt(15)-3