What are the solutions to the equation completesquare 3/2 x^2-6x+4 ?

The solutions to the equation completesquare 3/2 x^2-6x+4 are 3/2 (x-2)^2-2

Find the zeros of completesquare 3/2 x^2-6x+4

The zeros of completesquare 3/2 x^2-6x+4 are 3/2 (x-2)^2-2

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complete the square

\frac{3}{2} x^{2} - 6 x + 4

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

Solution steps

\frac{3}{2} x^{2} - 6 x + 4

Write in the standard form

a x^{2} + b x + c

\frac{3 x ^{2}}{2} - 6 x + 4

Write

\frac{3 x ^{2}}{2} - 6 x + 4

in the form:

x^{2} + 2 a x + a^{2}

Factor out

\frac{3}{2}

\frac{3}{2} (x^{2} - 4 x + \frac{8}{3})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

\frac{3}{2} (x^{2} - 4 x + \frac{8}{3} + (- 2)^{2} - (- 2)^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - 4 x + (- 2)^{2} = (x - 2)^{2}

\frac{3}{2} ((x - 2)^{2} + \frac{8}{3} - (- 2)^{2})

Simplify

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

- 4.9 t^{2} + 7.4 t + 1.55 = 0

2 x^{2} + 12 x + 1 = 0

- 7 x^{2} + 7 x = 0

x^{2} = 0.8 x + 0.2

2 n^{2} = - 10 n - 5

What are the solutions to the equation completesquare 3/2 x^2-6x+4 ?
The solutions to the equation completesquare 3/2 x^2-6x+4 are 3/2 (x-2)^2-2
Find the zeros of completesquare 3/2 x^2-6x+4
The zeros of completesquare 3/2 x^2-6x+4 are 3/2 (x-2)^2-2