What are the solutions to the equation completesquare x^2+14x+49 ?

The solutions to the equation completesquare x^2+14x+49 are (x+7)^2

Find the zeros of completesquare x^2+14x+49

The zeros of completesquare x^2+14x+49 are (x+7)^2

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complete the square

x^{2} + 14 x + 49

(x + 7)^{2}

Solution steps

x^{2} + 14 x + 49

Write

x^{2} + 14 x + 49

in the form:

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

2 a = 14 : a = 7

Add and subtract

7^{2}

x^{2} + 14 x + 49 + 7^{2} - 7^{2}

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

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

(x + 7)^{2} + 49 - 7^{2}

Simplify

(x + 7)^{2}

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

3 y^{2} + 2 = 0

4 x^{2} + 12 x - 44 = 0

0.51 = \frac{12.96 + 28.09 - c ^{2}}{38.16}

2 p^{2} - 6 p + 7 = 0

What are the solutions to the equation completesquare x^2+14x+49 ?
The solutions to the equation completesquare x^2+14x+49 are (x+7)^2
Find the zeros of completesquare x^2+14x+49
The zeros of completesquare x^2+14x+49 are (x+7)^2