What are the solutions to the equation completesquare x^2-19x ?

The solutions to the equation completesquare x^2-19x are (x-19/2)^2-361/4

Find the zeros of completesquare x^2-19x

The zeros of completesquare x^2-19x are (x-19/2)^2-361/4

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complete the square

x^{2} - 19 x

(x - \frac{19}{2})^{2} - \frac{361}{4}

Solution steps

x^{2} - 19 x

Write

x^{2} - 19 x

in the form:

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

2 a = - 19 : a = - \frac{19}{2}

Add and subtract

(- \frac{19}{2})^{2}

x^{2} - 19 x + (- \frac{19}{2})^{2} - (- \frac{19}{2})^{2}

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

x^{2} - 19 x + (- \frac{19}{2})^{2} = (x - \frac{19}{2})^{2}

(x - \frac{19}{2})^{2} - (- \frac{19}{2})^{2}

Simplify

(x - \frac{19}{2})^{2} - \frac{361}{4}

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

- x^{2} + 16 x - 63 = 0

m^{2} - 12 m + 26 = 0

λ^{2} - 5 λ - 6 = 0

3 x^{2} - 1 = - 8 x

What are the solutions to the equation completesquare x^2-19x ?
The solutions to the equation completesquare x^2-19x are (x-19/2)^2-361/4
Find the zeros of completesquare x^2-19x
The zeros of completesquare x^2-19x are (x-19/2)^2-361/4