What are the solutions to the equation completesquare 6x^2+84x+284 ?

The solutions to the equation completesquare 6x^2+84x+284 are 6(x+7)^2-10

Find the zeros of completesquare 6x^2+84x+284

The zeros of completesquare 6x^2+84x+284 are 6(x+7)^2-10

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complete the square

6 x^{2} + 84 x + 284

6 (x + 7)^{2} - 10

Solution steps

6 x^{2} + 84 x + 284

Write

6 x^{2} + 84 x + 284

in the form:

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

Factor out

6

6 (x^{2} + 14 x + \frac{142}{3})

2 a = 14 : a = 7

Add and subtract

7^{2}

6 (x^{2} + 14 x + \frac{142}{3} + 7^{2} - 7^{2})

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

x^{2} + 14 x + 7^{2} = (x + 7)^{2}

6 ((x + 7)^{2} + \frac{142}{3} - 7^{2})

Simplify

6 (x + 7)^{2} - 10

x, (x + y)^{2} - 1 = 0

x, x^{2} - k x + 1681 = 0 s

(2 x + 3) \cdot (3 x - 1) = - 4

(5 w - 1) (w + 3) = 0

2 x^{2} + 6 x + 2 = 4

What are the solutions to the equation completesquare 6x^2+84x+284 ?
The solutions to the equation completesquare 6x^2+84x+284 are 6(x+7)^2-10
Find the zeros of completesquare 6x^2+84x+284
The zeros of completesquare 6x^2+84x+284 are 6(x+7)^2-10