What are the solutions to the equation completesquare-x^2+280x-17600 ?

The solutions to the equation completesquare-x^2+280x-17600 are -(x-140)^2+2000

Find the zeros of completesquare-x^2+280x-17600

The zeros of completesquare-x^2+280x-17600 are -(x-140)^2+2000

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complete the square

- x^{2} + 280 x - 17600

- (x - 140)^{2} + 2000

Solution steps

- x^{2} + 280 x - 17600

Write

- x^{2} + 280 x - 17600

in the form:

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

Factor out

- 1

- (x^{2} - 280 x + 17600)

2 a = - 280 : a = - 140

Add and subtract

(- 140)^{2}

- (x^{2} - 280 x + 17600 + (- 140)^{2} - (- 140)^{2})

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

x^{2} - 280 x + (- 140)^{2} = (x - 140)^{2}

- ((x - 140)^{2} + 17600 - (- 140)^{2})

Simplify

- (x - 140)^{2} + 2000

2 t^{2} + 4 t - 6 = 0

x^{2} - \frac{5}{3} x - \frac{2}{3} = 0

a, a^{2} + b^{2} + c^{2} = 121

5 x^{2} - 2 = 2 x^{2}

x^{2} + 3 = 51

What are the solutions to the equation completesquare-x^2+280x-17600 ?
The solutions to the equation completesquare-x^2+280x-17600 are -(x-140)^2+2000
Find the zeros of completesquare-x^2+280x-17600
The zeros of completesquare-x^2+280x-17600 are -(x-140)^2+2000