What are the solutions to the equation completesquare x^2-13x ?

The solutions to the equation completesquare x^2-13x are (x-13/2)^2-169/4

Find the zeros of completesquare x^2-13x

The zeros of completesquare x^2-13x are (x-13/2)^2-169/4

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complete the square

x^{2} - 13 x

(x - \frac{13}{2})^{2} - \frac{169}{4}

Solution steps

x^{2} - 13 x

Write

x^{2} - 13 x

in the form:

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

2 a = - 13 : a = - \frac{13}{2}

Add and subtract

(- \frac{13}{2})^{2}

x^{2} - 13 x + (- \frac{13}{2})^{2} - (- \frac{13}{2})^{2}

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

x^{2} - 13 x + (- \frac{13}{2})^{2} = (x - \frac{13}{2})^{2}

(x - \frac{13}{2})^{2} - (- \frac{13}{2})^{2}

Simplify

(x - \frac{13}{2})^{2} - \frac{169}{4}

x^{2} - 15 x

v^{2} - 8 v + 45 = 0

x^{2} - 12 x = 10

5 x^{2} - 3 x + 5 = 0

3 x^{2} + x = 14

What are the solutions to the equation completesquare x^2-13x ?
The solutions to the equation completesquare x^2-13x are (x-13/2)^2-169/4
Find the zeros of completesquare x^2-13x
The zeros of completesquare x^2-13x are (x-13/2)^2-169/4