What are the solutions to the equation completesquare 4x^2-56x+180=0 ?

The solutions to the equation completesquare 4x^2-56x+180=0 are x=9,x=5

Find the zeros of completesquare 4x^2-56x+180=0

The zeros of completesquare 4x^2-56x+180=0 are x=9,x=5

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4 x^{2} - 56 x + 180 = 0

x = 9, x = 5

Solution steps

4 x^{2} - 56 x + 180 = 0

Move

180

to the right side

4 x^{2} - 56 x = - 180

Divide both sides by

4

\frac{4 x ^{2} - 56 x}{4} = \frac{- 180}{4}

x^{2} - 14 x = - 45

Rewrite in the form

(x + a)^{2} = b

(x - 7)^{2} = 4

For

the solutions are

f (x) = a, - a

Solve

x - 7 = 4 : x = 9

Solve

x - 7 = - 4 : x = 5

The solutions to the quadratic equation are:

x = 9, x = 5

9^{2} + 1 0^{2} = x^{2}

x^{2} - 8 = 92

- \frac{1}{10} x^{2} + 1 = 0

0 = x^{2} + 6 x - 27

- 2 x^{2} + 4 x - 5

What are the solutions to the equation completesquare 4x^2-56x+180=0 ?
The solutions to the equation completesquare 4x^2-56x+180=0 are x=9,x=5
Find the zeros of completesquare 4x^2-56x+180=0
The zeros of completesquare 4x^2-56x+180=0 are x=9,x=5