What are the solutions to the equation completesquare 12x^2-6x+5 ?

The solutions to the equation completesquare 12x^2-6x+5 are 12(x-1/4)^2+17/4

Find the zeros of completesquare 12x^2-6x+5

The zeros of completesquare 12x^2-6x+5 are 12(x-1/4)^2+17/4

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complete the square

12 x^{2} - 6 x + 5

12 (x - \frac{1}{4})^{2} + \frac{17}{4}

Solution steps

12 x^{2} - 6 x + 5

Write

12 x^{2} - 6 x + 5

in the form:

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

Factor out

12

12 (x^{2} - \frac{x}{2} + \frac{5}{12})

2 a = - \frac{1}{2} : a = - \frac{1}{4}

Add and subtract

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

12 (x^{2} - \frac{x}{2} + \frac{5}{12} + (- \frac{1}{4})^{2} - (- \frac{1}{4})^{2})

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

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

12 ((x - \frac{1}{4})^{2} + \frac{5}{12} - (- \frac{1}{4})^{2})

Simplify

12 (x - \frac{1}{4})^{2} + \frac{17}{4}

x (x + 10) = - 34

x, a x^{2} + b x + c = o

lo g_{10} (3) (x^{2} - 6) - lo g_{10} (3) (x + 6) = 0

x^{2} + (1 + 2) x + 2 = 0

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

What are the solutions to the equation completesquare 12x^2-6x+5 ?
The solutions to the equation completesquare 12x^2-6x+5 are 12(x-1/4)^2+17/4
Find the zeros of completesquare 12x^2-6x+5
The zeros of completesquare 12x^2-6x+5 are 12(x-1/4)^2+17/4