What are the solutions to the equation completesquare x^2-11x-2 ?

The solutions to the equation completesquare x^2-11x-2 are (x-11/2)^2-129/4

Find the zeros of completesquare x^2-11x-2

The zeros of completesquare x^2-11x-2 are (x-11/2)^2-129/4

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complete the square

x^{2} - 11 x - 2

(x - \frac{11}{2})^{2} - \frac{129}{4}

Solution steps

x^{2} - 11 x - 2

Write

x^{2} - 11 x - 2

in the form:

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

2 a = - 11 : a = - \frac{11}{2}

Add and subtract

(- \frac{11}{2})^{2}

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

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

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

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

Simplify

(x - \frac{11}{2})^{2} - \frac{129}{4}

x^{2} + 14 x + 39 = 0

x, 9 y^{2} - 18 y - 16 x^{2} + 32 x - 7 = 0

(x - 2) (x - 1) = 0

- x^{2} = - 1

x, z = 3 x^{2}

What are the solutions to the equation completesquare x^2-11x-2 ?
The solutions to the equation completesquare x^2-11x-2 are (x-11/2)^2-129/4
Find the zeros of completesquare x^2-11x-2
The zeros of completesquare x^2-11x-2 are (x-11/2)^2-129/4