What are the solutions to the equation completesquare x^2-5x+2 ?

The solutions to the equation completesquare x^2-5x+2 are (x-5/2)^2-17/4

Find the zeros of completesquare x^2-5x+2

The zeros of completesquare x^2-5x+2 are (x-5/2)^2-17/4

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complete the square

x^{2} - 5 x + 2

(x - \frac{5}{2})^{2} - \frac{17}{4}

Solution steps

x^{2} - 5 x + 2

Write

x^{2} - 5 x + 2

in the form:

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

2 a = - 5 : a = - \frac{5}{2}

Add and subtract

(- \frac{5}{2})^{2}

x^{2} - 5 x + 2 + (- \frac{5}{2})^{2} - (- \frac{5}{2})^{2}

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

x^{2} - 5 x + (- \frac{5}{2})^{2} = (x - \frac{5}{2})^{2}

(x - \frac{5}{2})^{2} + 2 - (- \frac{5}{2})^{2}

Simplify

(x - \frac{5}{2})^{2} - \frac{17}{4}

14 x^{2} - 35 x = 0

n^{2} - 2 n - 28 = 0

(x - 3) (x - 4) = 12

4 x^{2} - 20 x + 20 = 0

x^{2} + 3 x - 25 = - 7

What are the solutions to the equation completesquare x^2-5x+2 ?
The solutions to the equation completesquare x^2-5x+2 are (x-5/2)^2-17/4
Find the zeros of completesquare x^2-5x+2
The zeros of completesquare x^2-5x+2 are (x-5/2)^2-17/4