What are the solutions to the equation (x+5)^2-72=0 ?

The solutions to the equation (x+5)^2-72=0 are x=6sqrt(2)-5,x=-6sqrt(2)-5

Find the zeros of (x+5)^2-72=0

The zeros of (x+5)^2-72=0 are x=6sqrt(2)-5,x=-6sqrt(2)-5

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(x + 5)^{2} - 72 = 0

x = 62 - 5, x = - 62 - 5

Decimal Notation

x = 3.48528 \dots, x = - 13.48528 \dots

Solution steps

(x + 5)^{2} - 72 = 0

Move

72

to the right side

(x + 5)^{2} = 72

For

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

the solutions are

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

Solve

x + 5 = 72 : x = 62 - 5

Solve

x + 5 = - 72 : x = - 62 - 5

The solutions to the quadratic equation are:

x = 62 - 5, x = - 62 - 5

∣ x + 7 ∣ + 9 = 18

x^{2} - 7 = - 3

∣ 2 x + 1 ∣ < 1

8 + 32

3 x^{2} + 8 x + 2 = 0

What are the solutions to the equation (x+5)^2-72=0 ?
The solutions to the equation (x+5)^2-72=0 are x=6sqrt(2)-5,x=-6sqrt(2)-5
Find the zeros of (x+5)^2-72=0
The zeros of (x+5)^2-72=0 are x=6sqrt(2)-5,x=-6sqrt(2)-5