What are the solutions to the equation completesquare x^2-5x+6 ?

The solutions to the equation completesquare x^2-5x+6 are (x-5/2)^2-1/4

Find the zeros of completesquare x^2-5x+6

The zeros of completesquare x^2-5x+6 are (x-5/2)^2-1/4

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complete the square

x^{2} - 5 x + 6

(x - \frac{5}{2})^{2} - \frac{1}{4}

Solution steps

x^{2} - 5 x + 6

Write

x^{2} - 5 x + 6

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 + 6 + (- \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} + 6 - (- \frac{5}{2})^{2}

Simplify

(x - \frac{5}{2})^{2} - \frac{1}{4}

- 4 x^{2} + 8 x - 3 = 0

(4 x - 5)^{2} = 25

b (b + 5) = 0

0.000006 x^{2} - 0.02 x + 25 = 28

(x + 1)^{3} - (x - 1)^{3} = 7 x

What are the solutions to the equation completesquare x^2-5x+6 ?
The solutions to the equation completesquare x^2-5x+6 are (x-5/2)^2-1/4
Find the zeros of completesquare x^2-5x+6
The zeros of completesquare x^2-5x+6 are (x-5/2)^2-1/4