What are the solutions to the equation completesquare-x^2+9x-3 ?

The solutions to the equation completesquare-x^2+9x-3 are -(x-9/2)^2+69/4

Find the zeros of completesquare-x^2+9x-3

The zeros of completesquare-x^2+9x-3 are -(x-9/2)^2+69/4

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complete the square

- x^{2} + 9 x - 3

- (x - \frac{9}{2})^{2} + \frac{69}{4}

Solution steps

- x^{2} + 9 x - 3

Write

- x^{2} + 9 x - 3

in the form:

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

Factor out

- 1

- (x^{2} - 9 x + 3)

2 a = - 9 : a = - \frac{9}{2}

Add and subtract

(- \frac{9}{2})^{2}

- (x^{2} - 9 x + 3 + (- \frac{9}{2})^{2} - (- \frac{9}{2})^{2})

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

x^{2} - 9 x + (- \frac{9}{2})^{2} = (x - \frac{9}{2})^{2}

- ((x - \frac{9}{2})^{2} + 3 - (- \frac{9}{2})^{2})

Simplify

- (x - \frac{9}{2})^{2} + \frac{69}{4}

(x - 2) (x - 3) = 30

y^{2} = 9 y

7 x + 2 (- 9 x + 3) = x - (- 4 x + 6) x - (- 4 x + 6)

x, x^{2} + 2 x y + y^{2} = 64

x^{2} + 5 = 5 \frac{1}{16}

What are the solutions to the equation completesquare-x^2+9x-3 ?
The solutions to the equation completesquare-x^2+9x-3 are -(x-9/2)^2+69/4
Find the zeros of completesquare-x^2+9x-3
The zeros of completesquare-x^2+9x-3 are -(x-9/2)^2+69/4