What are the solutions to the equation completesquare 4x^2+12x+14 ?

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

Find the zeros of completesquare 4x^2+12x+14

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

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complete the square

4 x^{2} + 12 x + 14

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

Solution steps

4 x^{2} + 12 x + 14

Write

4 x^{2} + 12 x + 14

in the form:

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

Factor out

4

4 (x^{2} + 3 x + \frac{7}{2})

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

Add and subtract

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

4 (x^{2} + 3 x + \frac{7}{2} + (\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{7}{2} - (\frac{3}{2})^{2})

Simplify

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

- x^{2} + x + 6

0 = y^{2} - 65

2 x^{2} - 8 x + 1 = 0

- 2 y^{2} = 9

46 x + 7 x^{2} = 21

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