What are the solutions to the equation completesquare-x^2+5x-2 ?

The solutions to the equation completesquare-x^2+5x-2 are -(x-5/2)^2+17/4

Find the zeros of completesquare-x^2+5x-2

The zeros of completesquare-x^2+5x-2 are -(x-5/2)^2+17/4

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complete the square

- x^{2} + 5 x - 2

- (x - \frac{5}{2})^{2} + \frac{17}{4}

Solution steps

- x^{2} + 5 x - 2

Write

- x^{2} + 5 x - 2

in the form:

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

Factor out

- 1

- (x^{2} - 5 x + 2)

2 a = - 5 : a = - \frac{5}{2}

Add and subtract

(- \frac{5}{2})^{2}

- (x^{2} - 5 x + 2 + (- \frac{5}{2})^{2} - (- \frac{5}{2})^{2})

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

x^{2} - 5 x + (- \frac{5}{2})^{2} = (x - \frac{5}{2})^{2}

- ((x - \frac{5}{2})^{2} + 2 - (- \frac{5}{2})^{2})

Simplify

- (x - \frac{5}{2})^{2} + \frac{17}{4}

- x^{2} + 5 x + 3

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

2 x^{2} - 3 x - 16 = 16

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

2 x^{2} = ab x + 3 a^{2} b^{2}

What are the solutions to the equation completesquare-x^2+5x-2 ?
The solutions to the equation completesquare-x^2+5x-2 are -(x-5/2)^2+17/4
Find the zeros of completesquare-x^2+5x-2
The zeros of completesquare-x^2+5x-2 are -(x-5/2)^2+17/4