What are the solutions to the equation completesquare x^2-7x+12 ?

The solutions to the equation completesquare x^2-7x+12 are (x-7/2)^2-1/4

Find the zeros of completesquare x^2-7x+12

The zeros of completesquare x^2-7x+12 are (x-7/2)^2-1/4

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complete the square

x^{2} - 7 x + 12

(x - \frac{7}{2})^{2} - \frac{1}{4}

Solution steps

x^{2} - 7 x + 12

Write

x^{2} - 7 x + 12

in the form:

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

2 a = - 7 : a = - \frac{7}{2}

Add and subtract

(- \frac{7}{2})^{2}

x^{2} - 7 x + 12 + (- \frac{7}{2})^{2} - (- \frac{7}{2})^{2}

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

x^{2} - 7 x + (- \frac{7}{2})^{2} = (x - \frac{7}{2})^{2}

(x - \frac{7}{2})^{2} + 12 - (- \frac{7}{2})^{2}

Simplify

(x - \frac{7}{2})^{2} - \frac{1}{4}

4 x^{2} + 12 x + 10 = 0

- 2 x^{2} - 4 x + 5 = 0

t^{2} = 25

t^{2} = 14

t^{2} = 64

What are the solutions to the equation completesquare x^2-7x+12 ?
The solutions to the equation completesquare x^2-7x+12 are (x-7/2)^2-1/4
Find the zeros of completesquare x^2-7x+12
The zeros of completesquare x^2-7x+12 are (x-7/2)^2-1/4