What are the solutions to the equation completesquare x^2+24x ?

The solutions to the equation completesquare x^2+24x are (x+12)^2-144

Find the zeros of completesquare x^2+24x

The zeros of completesquare x^2+24x are (x+12)^2-144

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complete the square

x^{2} + 24 x

(x + 12)^{2} - 144

Solution steps

x^{2} + 24 x

Write

x^{2} + 24 x

in the form:

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

2 a = 24 : a = 12

Add and subtract

1 2^{2}

x^{2} + 24 x + 1 2^{2} - 1 2^{2}

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

x^{2} + 24 x + 1 2^{2} = (x + 12)^{2}

(x + 12)^{2} - 1 2^{2}

Simplify

(x + 12)^{2} - 144

3 x^{2} - b x + 1 = 0

(3 x - 2) (4 x + 1) = 0

n^{2} - n - 19 = 0

x^{2} + 8 x + 9 = 2 x

- 5 x^{2} + 12 x = - 6

What are the solutions to the equation completesquare x^2+24x ?
The solutions to the equation completesquare x^2+24x are (x+12)^2-144
Find the zeros of completesquare x^2+24x
The zeros of completesquare x^2+24x are (x+12)^2-144