What are the solutions to the equation completesquare-0.2x^2+1.6x ?

The solutions to the equation completesquare-0.2x^2+1.6x are -0.2(x-4)^2+3.2

Find the zeros of completesquare-0.2x^2+1.6x

The zeros of completesquare-0.2x^2+1.6x are -0.2(x-4)^2+3.2

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complete the square

- 0.2 x^{2} + 1.6 x

- 0.2 (x - 4)^{2} + 3.2

Solution steps

- 0.2 x^{2} + 1.6 x

Write

- 0.2 x^{2} + 1.6 x

in the form:

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

Factor out

- 0.2

- 0.2 (x^{2} - \frac{1.6 x}{0.2})

2 a = - \frac{1.6}{0.2} : a = - 4

Add and subtract

(- 4)^{2}

- 0.2 (x^{2} - \frac{1.6 x}{0.2} + (- 4)^{2} - (- 4)^{2})

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

x^{2} - \frac{1.6}{0.2} x + (- 4)^{2} = (x - 4)^{2}

- 0.2 ((x - 4)^{2} - (- 4)^{2})

Simplify

- 0.2 (x - 4)^{2} + 3.2

m^{2} = 4 m - 3

x^{2} + 2 x + c

(x - 1)^{2} = 18

7 - 3 x^{2} = 301

5 m^{2} - 4 m + 6 = 0

What are the solutions to the equation completesquare-0.2x^2+1.6x ?
The solutions to the equation completesquare-0.2x^2+1.6x are -0.2(x-4)^2+3.2
Find the zeros of completesquare-0.2x^2+1.6x
The zeros of completesquare-0.2x^2+1.6x are -0.2(x-4)^2+3.2