What are the solutions to the equation completesquare 7x^2+84x+247 ?

The solutions to the equation completesquare 7x^2+84x+247 are 7(x+6)^2-5

Find the zeros of completesquare 7x^2+84x+247

The zeros of completesquare 7x^2+84x+247 are 7(x+6)^2-5

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complete the square

7 x^{2} + 84 x + 247

7 (x + 6)^{2} - 5

Solution steps

7 x^{2} + 84 x + 247

Write

7 x^{2} + 84 x + 247

in the form:

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

Factor out

7

7 (x^{2} + 12 x + \frac{247}{7})

2 a = 12 : a = 6

Add and subtract

6^{2}

7 (x^{2} + 12 x + \frac{247}{7} + 6^{2} - 6^{2})

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

x^{2} + 12 x + 6^{2} = (x + 6)^{2}

7 ((x + 6)^{2} + \frac{247}{7} - 6^{2})

Simplify

7 (x + 6)^{2} - 5

c^{2} - 2 c = 0

(2 x - 5)^{2} + 4 x = 12

5 q^{2} + 12 q + 5 = 2 q^{2}

y^{2} + 6 y + 25 = 0

x, 3 x^{2} - 8 x - 16 = 0

What are the solutions to the equation completesquare 7x^2+84x+247 ?
The solutions to the equation completesquare 7x^2+84x+247 are 7(x+6)^2-5
Find the zeros of completesquare 7x^2+84x+247
The zeros of completesquare 7x^2+84x+247 are 7(x+6)^2-5