What are the solutions to the equation 3/2 (x-2)^2=72 ?

The solutions to the equation 3/2 (x-2)^2=72 are x=4sqrt(3)+2,x=-4sqrt(3)+2

Find the zeros of 3/2 (x-2)^2=72

The zeros of 3/2 (x-2)^2=72 are x=4sqrt(3)+2,x=-4sqrt(3)+2

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\frac{3}{2} (x - 2)^{2} = 72

x = 43 + 2, x = - 43 + 2

Decimal Notation

x = 8.92820 \dots, x = - 4.92820 \dots

Solution steps

\frac{3}{2} (x - 2)^{2} = 72

Multiply both sides by

2

3 (x - 2)^{2} = 144

Divide both sides by

3

(x - 2)^{2} = 48

For

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

the solutions are

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

Solve

x - 2 = 48 : x = 43 + 2

Solve

x - 2 = - 48 : x = - 43 + 2

The solutions to the quadratic equation are:

x = 43 + 2, x = - 43 + 2

2 x^{2} - 9 = 121

6 x^{2} + 11 x = - 3

a x^{2} - (4 a + 1) x + 3 a + 3 = 0

2 k^{2} + 5 k + 4 = 1

a, a^{2} + b^{2} = 0

What are the solutions to the equation 3/2 (x-2)^2=72 ?
The solutions to the equation 3/2 (x-2)^2=72 are x=4sqrt(3)+2,x=-4sqrt(3)+2
Find the zeros of 3/2 (x-2)^2=72
The zeros of 3/2 (x-2)^2=72 are x=4sqrt(3)+2,x=-4sqrt(3)+2