What are the solutions to the equation 3(x-5)^2-81=0 ?

The solutions to the equation 3(x-5)^2-81=0 are x=3sqrt(3)+5,x=-3sqrt(3)+5

Find the zeros of 3(x-5)^2-81=0

The zeros of 3(x-5)^2-81=0 are x=3sqrt(3)+5,x=-3sqrt(3)+5

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3 (x - 5)^{2} - 81 = 0

x = 33 + 5, x = - 33 + 5

Decimal Notation

x = 10.19615 \dots, x = - 0.19615 \dots

Solution steps

3 (x - 5)^{2} - 81 = 0

Move

81

to the right side

3 (x - 5)^{2} = 81

Divide both sides by

3

(x - 5)^{2} = 27

For

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

the solutions are

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

Solve

x - 5 = 27 : x = 33 + 5

Solve

x - 5 = - 27 : x = - 33 + 5

The solutions to the quadratic equation are:

x = 33 + 5, x = - 33 + 5

3 x^{2} - 4 x - 20 = 0

x^{2} - 2 x = 0

x, x y^{4} + x^{2} y = x + 3 y

c, x^{2} - y^{2} = c^{2}

m^{2} - m + \frac{1}{4} = 0

What are the solutions to the equation 3(x-5)^2-81=0 ?
The solutions to the equation 3(x-5)^2-81=0 are x=3sqrt(3)+5,x=-3sqrt(3)+5
Find the zeros of 3(x-5)^2-81=0
The zeros of 3(x-5)^2-81=0 are x=3sqrt(3)+5,x=-3sqrt(3)+5