What are the solutions to the equation completesquare-2x^2+44x-235 ?

The solutions to the equation completesquare-2x^2+44x-235 are -2(x-11)^2+7

Find the zeros of completesquare-2x^2+44x-235

The zeros of completesquare-2x^2+44x-235 are -2(x-11)^2+7

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complete the square

- 2 x^{2} + 44 x - 235

- 2 (x - 11)^{2} + 7

Solution steps

- 2 x^{2} + 44 x - 235

Write

- 2 x^{2} + 44 x - 235

in the form:

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

Factor out

- 2

- 2 (x^{2} - 22 x + \frac{235}{2})

2 a = - 22 : a = - 11

Add and subtract

(- 11)^{2}

- 2 (x^{2} - 22 x + \frac{235}{2} + (- 11)^{2} - (- 11)^{2})

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

x^{2} - 22 x + (- 11)^{2} = (x - 11)^{2}

- 2 ((x - 11)^{2} + \frac{235}{2} - (- 11)^{2})

Simplify

- 2 (x - 11)^{2} + 7

p^{2} + 2 p - 3 = 0

2 x^{2} + 4 x - 32 = 0

x^{2} - 32 x + c

x, x^{2} - 8 = 0

72 x^{2} + 96 x = 0

What are the solutions to the equation completesquare-2x^2+44x-235 ?
The solutions to the equation completesquare-2x^2+44x-235 are -2(x-11)^2+7
Find the zeros of completesquare-2x^2+44x-235
The zeros of completesquare-2x^2+44x-235 are -2(x-11)^2+7