What are the solutions to the equation completesquare 4x^2+12x-5 ?

The solutions to the equation completesquare 4x^2+12x-5 are 4(x+3/2)^2-14

Find the zeros of completesquare 4x^2+12x-5

The zeros of completesquare 4x^2+12x-5 are 4(x+3/2)^2-14

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complete the square

4 x^{2} + 12 x - 5

4 (x + \frac{3}{2})^{2} - 14

Solution steps

4 x^{2} + 12 x - 5

Write

4 x^{2} + 12 x - 5

in the form:

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

Factor out

4

4 (x^{2} + 3 x - \frac{5}{4})

2 a = 3 : a = \frac{3}{2}

Add and subtract

(\frac{3}{2})^{2}

4 (x^{2} + 3 x - \frac{5}{4} + (\frac{3}{2})^{2} - (\frac{3}{2})^{2})

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

x^{2} + 3 x + (\frac{3}{2})^{2} = (x + \frac{3}{2})^{2}

4 ((x + \frac{3}{2})^{2} - \frac{5}{4} - (\frac{3}{2})^{2})

Simplify

4 (x + \frac{3}{2})^{2} - 14

2 - 25 x^{2} = 625 x^{2}

y, y^{2} - 3 x^{2} = 0

4 a^{2} - 14 a + 13 = 2

2 x^{2} + 14 x + 11 = 0

x^{2} - 6 x - 31 = 0

What are the solutions to the equation completesquare 4x^2+12x-5 ?
The solutions to the equation completesquare 4x^2+12x-5 are 4(x+3/2)^2-14
Find the zeros of completesquare 4x^2+12x-5
The zeros of completesquare 4x^2+12x-5 are 4(x+3/2)^2-14