What are the solutions to the equation 1/2 (x-4)^2+3=30 ?

The solutions to the equation 1/2 (x-4)^2+3=30 are x=3sqrt(6)+4,x=-3sqrt(6)+4

Find the zeros of 1/2 (x-4)^2+3=30

The zeros of 1/2 (x-4)^2+3=30 are x=3sqrt(6)+4,x=-3sqrt(6)+4

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\frac{1}{2} (x - 4)^{2} + 3 = 30

x = 36 + 4, x = - 36 + 4

Decimal Notation

x = 11.34846 \dots, x = - 3.34846 \dots

Solution steps

\frac{1}{2} (x - 4)^{2} + 3 = 30

Move

3

to the right side

\frac{1}{2} (x - 4)^{2} = 27

Multiply both sides by

2

(x - 4)^{2} = 54

For

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

the solutions are

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

Solve

x - 4 = 54 : x = 36 + 4

Solve

x - 4 = - 54 : x = - 36 + 4

The solutions to the quadratic equation are:

x = 36 + 4, x = - 36 + 4

4 x^{2} + 12 x + 6 = 0

x^{2} - 8 x + 15 = 0

x^{2} - x - 1 = 1

2 x - x^{2}

3 s - 2 s^{2} = \frac{3}{2}

What are the solutions to the equation 1/2 (x-4)^2+3=30 ?
The solutions to the equation 1/2 (x-4)^2+3=30 are x=3sqrt(6)+4,x=-3sqrt(6)+4
Find the zeros of 1/2 (x-4)^2+3=30
The zeros of 1/2 (x-4)^2+3=30 are x=3sqrt(6)+4,x=-3sqrt(6)+4