What are the solutions to the equation completesquare x^2+4x-11 ?

The solutions to the equation completesquare x^2+4x-11 are (x+2)^2-15

Find the zeros of completesquare x^2+4x-11

The zeros of completesquare x^2+4x-11 are (x+2)^2-15

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complete the square

x^{2} + 4 x - 11

(x + 2)^{2} - 15

Solution steps

x^{2} + 4 x - 11

Write

x^{2} + 4 x - 11

in the form:

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

2 a = 4 : a = 2

Add and subtract

2^{2}

x^{2} + 4 x - 11 + 2^{2} - 2^{2}

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

x^{2} + 4 x + 2^{2} = (x + 2)^{2}

(x + 2)^{2} - 11 - 2^{2}

Simplify

(x + 2)^{2} - 15

x^{2} + 4 x - 21

0 = 4 x^{2} + 36

x^{2} + 12 = 37

x, y = \frac{1}{100} x^{2}

100 x^{2} - 81 = 0

What are the solutions to the equation completesquare x^2+4x-11 ?
The solutions to the equation completesquare x^2+4x-11 are (x+2)^2-15
Find the zeros of completesquare x^2+4x-11
The zeros of completesquare x^2+4x-11 are (x+2)^2-15