What are the solutions to the equation completesquare 4x^2-12x+9=0 ?

The solutions to the equation completesquare 4x^2-12x+9=0 are x= 3/2

Find the zeros of completesquare 4x^2-12x+9=0

The zeros of completesquare 4x^2-12x+9=0 are x= 3/2

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4 x^{2} - 12 x + 9 = 0

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

4 x^{2} - 12 x + 9 = 0

Move

9

to the right side

4 x^{2} - 12 x = - 9

Divide both sides by

4

\frac{4 x ^{2} - 12 x}{4} = \frac{- 9}{4}

x^{2} - 3 x = - \frac{9}{4}

Rewrite in the form

(x + a)^{2} = b

(x - \frac{3}{2})^{2} = 0

Solve

x - \frac{3}{2} = 0 : x = \frac{3}{2}

The solution to the quadratic equation is:

x = \frac{3}{2}

2 x^{2} + 14 x - 16 = 0

\frac{2}{3} x^{2} - 6 x = 1

(x - \frac{1}{3})^{2} = \frac{5}{9}

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

5 x^{2} + 35 x = 0

What are the solutions to the equation completesquare 4x^2-12x+9=0 ?
The solutions to the equation completesquare 4x^2-12x+9=0 are x= 3/2
Find the zeros of completesquare 4x^2-12x+9=0
The zeros of completesquare 4x^2-12x+9=0 are x= 3/2