What are the solutions to the equation completesquare x^2+8x+25 ?

The solutions to the equation completesquare x^2+8x+25 are (x+4)^2+9

Find the zeros of completesquare x^2+8x+25

The zeros of completesquare x^2+8x+25 are (x+4)^2+9

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complete the square

x^{2} + 8 x + 25

(x + 4)^{2} + 9

Solution steps

x^{2} + 8 x + 25

Write

x^{2} + 8 x + 25

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

x^{2} + 8 x + 25 + 4^{2} - 4^{2}

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

(x + 4)^{2} + 25 - 4^{2}

Simplify

(x + 4)^{2} + 9

(x + 3) (x + 9) = 0

0 = \frac{1}{2} (3 - x) (2 - x)

2 x^{2} + 10 x = 12

x^{2} - 10 = 26

x^{2} - 10 = 39

What are the solutions to the equation completesquare x^2+8x+25 ?
The solutions to the equation completesquare x^2+8x+25 are (x+4)^2+9
Find the zeros of completesquare x^2+8x+25
The zeros of completesquare x^2+8x+25 are (x+4)^2+9