What are the solutions to the equation completesquare x^2+6x-10 ?

The solutions to the equation completesquare x^2+6x-10 are (x+3)^2-19

Find the zeros of completesquare x^2+6x-10

The zeros of completesquare x^2+6x-10 are (x+3)^2-19

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complete the square

x^{2} + 6 x - 10

(x + 3)^{2} - 19

Solution steps

x^{2} + 6 x - 10

Write

x^{2} + 6 x - 10

in the form:

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

2 a = 6 : a = 3

Add and subtract

3^{2}

x^{2} + 6 x - 10 + 3^{2} - 3^{2}

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

(x + 3)^{2} - 10 - 3^{2}

Simplify

(x + 3)^{2} - 19

x^{2} - 2 (x - 3) = 6 + 2 x

5 x^{2} - 5 x - 150 = 0

6 x (8 x - 9) = 0

4 x^{2} + 60 = 11

3 x^{2} = 11 x + 4

What are the solutions to the equation completesquare x^2+6x-10 ?
The solutions to the equation completesquare x^2+6x-10 are (x+3)^2-19
Find the zeros of completesquare x^2+6x-10
The zeros of completesquare x^2+6x-10 are (x+3)^2-19