What are the solutions to the equation completesquare x^2-11x-12 ?

The solutions to the equation completesquare x^2-11x-12 are (x-11/2)^2-169/4

Find the zeros of completesquare x^2-11x-12

The zeros of completesquare x^2-11x-12 are (x-11/2)^2-169/4

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complete the square

x^{2} - 11 x - 12

(x - \frac{11}{2})^{2} - \frac{169}{4}

Solution steps

x^{2} - 11 x - 12

Write

x^{2} - 11 x - 12

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 - 12 + (- \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} - 12 - (- \frac{11}{2})^{2}

Simplify

(x - \frac{11}{2})^{2} - \frac{169}{4}

(x + 3) (x + 1) = 0

4 x^{2} + 12 x + 36 = 0

6 x (x - 5) = x - 5

4.9 x^{2} + 16.8 x + 7.6 = 0

- 4 = x^{2} + 5 x

What are the solutions to the equation completesquare x^2-11x-12 ?
The solutions to the equation completesquare x^2-11x-12 are (x-11/2)^2-169/4
Find the zeros of completesquare x^2-11x-12
The zeros of completesquare x^2-11x-12 are (x-11/2)^2-169/4