What are the solutions to the equation completesquare 12x^2-60x+5 ?

The solutions to the equation completesquare 12x^2-60x+5 are 12(x-5/2)^2-70

Find the zeros of completesquare 12x^2-60x+5

The zeros of completesquare 12x^2-60x+5 are 12(x-5/2)^2-70

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complete the square

12 x^{2} - 60 x + 5

12 (x - \frac{5}{2})^{2} - 70

Solution steps

12 x^{2} - 60 x + 5

Write

12 x^{2} - 60 x + 5

in the form:

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

Factor out

12

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

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

Add and subtract

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

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

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

Simplify

12 (x - \frac{5}{2})^{2} - 70

3 y^{2} + 0.685 y - 2.12 = 0

- 3 x^{2} + 7 x + 4 = 0

p^{2} + 9 = 0

49 x^{2} - 12 = 28 x

10 - 6 x^{2} = - 11

What are the solutions to the equation completesquare 12x^2-60x+5 ?
The solutions to the equation completesquare 12x^2-60x+5 are 12(x-5/2)^2-70
Find the zeros of completesquare 12x^2-60x+5
The zeros of completesquare 12x^2-60x+5 are 12(x-5/2)^2-70