What are the solutions to the equation completesquare x^2+9x-1 ?

The solutions to the equation completesquare x^2+9x-1 are (x+9/2)^2-85/4

Find the zeros of completesquare x^2+9x-1

The zeros of completesquare x^2+9x-1 are (x+9/2)^2-85/4

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complete the square

x^{2} + 9 x - 1

(x + \frac{9}{2})^{2} - \frac{85}{4}

Solution steps

x^{2} + 9 x - 1

Write

x^{2} + 9 x - 1

in the form:

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

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

Add and subtract

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

x^{2} + 9 x - 1 + (\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} - 1 - (\frac{9}{2})^{2}

Simplify

(x + \frac{9}{2})^{2} - \frac{85}{4}

x (x + 4) = 3 (x + 4)

- 9 - x^{2} = 0

2 j^{2} - 8 j + 2 = 0

x, z = \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}}

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

What are the solutions to the equation completesquare x^2+9x-1 ?
The solutions to the equation completesquare x^2+9x-1 are (x+9/2)^2-85/4
Find the zeros of completesquare x^2+9x-1
The zeros of completesquare x^2+9x-1 are (x+9/2)^2-85/4