What are the solutions to the equation completesquare x^2+18x+42 ?

The solutions to the equation completesquare x^2+18x+42 are (x+9)^2-39

Find the zeros of completesquare x^2+18x+42

The zeros of completesquare x^2+18x+42 are (x+9)^2-39

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complete the square

x^{2} + 18 x + 42

(x + 9)^{2} - 39

Solution steps

x^{2} + 18 x + 42

Write

x^{2} + 18 x + 42

in the form:

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

2 a = 18 : a = 9

Add and subtract

9^{2}

x^{2} + 18 x + 42 + 9^{2} - 9^{2}

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

x^{2} + 18 x + 9^{2} = (x + 9)^{2}

(x + 9)^{2} + 42 - 9^{2}

Simplify

(x + 9)^{2} - 39

u^{2} + 20 u + 101 = 0

t^{2} + 4 t - 17 = t

3 (x + 1)^{2} = 18

15 c^{2} - 8 c - 12 = 0

- 3 x^{2} + 15 x - 18 = 0

What are the solutions to the equation completesquare x^2+18x+42 ?
The solutions to the equation completesquare x^2+18x+42 are (x+9)^2-39
Find the zeros of completesquare x^2+18x+42
The zeros of completesquare x^2+18x+42 are (x+9)^2-39