What are the solutions to the equation 2(x+8)^2-3=97 ?

The solutions to the equation 2(x+8)^2-3=97 are x=5sqrt(2)-8,x=-5sqrt(2)-8

Find the zeros of 2(x+8)^2-3=97

The zeros of 2(x+8)^2-3=97 are x=5sqrt(2)-8,x=-5sqrt(2)-8

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2 (x + 8)^{2} - 3 = 97

x = 52 - 8, x = - 52 - 8

Decimal Notation

x = - 0.92893 \dots, x = - 15.07106 \dots

Solution steps

2 (x + 8)^{2} - 3 = 97

Move

3

to the right side

2 (x + 8)^{2} = 100

Divide both sides by

2

(x + 8)^{2} = 50

For

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

the solutions are

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

Solve

x + 8 = 50 : x = 52 - 8

Solve

x + 8 = - 50 : x = - 52 - 8

The solutions to the quadratic equation are:

x = 52 - 8, x = - 52 - 8

(\frac{3 a}{8})^{2} + a = 52

4 v^{2} + 6 v + 1 = 0

(5 x + 3)^{2} = 8

6 x^{2} - 19 x - 10 = 0

10 r^{2} + 68 r - 45 = 0

What are the solutions to the equation 2(x+8)^2-3=97 ?
The solutions to the equation 2(x+8)^2-3=97 are x=5sqrt(2)-8,x=-5sqrt(2)-8
Find the zeros of 2(x+8)^2-3=97
The zeros of 2(x+8)^2-3=97 are x=5sqrt(2)-8,x=-5sqrt(2)-8