What are the solutions to the equation completesquare-2x^2+100x ?

The solutions to the equation completesquare-2x^2+100x are -2(x-25)^2+1250

Find the zeros of completesquare-2x^2+100x

The zeros of completesquare-2x^2+100x are -2(x-25)^2+1250

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complete the square

- 2 x^{2} + 100 x

- 2 (x - 25)^{2} + 1250

Solution steps

- 2 x^{2} + 100 x

Write

- 2 x^{2} + 100 x

in the form:

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

Factor out

- 2

- 2 (x^{2} - 50 x)

2 a = - 50 : a = - 25

Add and subtract

(- 25)^{2}

- 2 (x^{2} - 50 x + (- 25)^{2} - (- 25)^{2})

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

x^{2} - 50 x + (- 25)^{2} = (x - 25)^{2}

- 2 ((x - 25)^{2} - (- 25)^{2})

Simplify

- 2 (x - 25)^{2} + 1250

x^{2} - 40 x + 1200 = 0

(2 x + 4) (x - 7) = 2 (5 x - 3)

x, 0 = 2 x^{2} + y^{2}

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

5 x^{2} + 11 x - 1 = 0

What are the solutions to the equation completesquare-2x^2+100x ?
The solutions to the equation completesquare-2x^2+100x are -2(x-25)^2+1250
Find the zeros of completesquare-2x^2+100x
The zeros of completesquare-2x^2+100x are -2(x-25)^2+1250