What are the solutions to the equation completesquare x^2+2x-39 ?

The solutions to the equation completesquare x^2+2x-39 are (x+1)^2-40

Find the zeros of completesquare x^2+2x-39

The zeros of completesquare x^2+2x-39 are (x+1)^2-40

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complete the square

x^{2} + 2 x - 39

(x + 1)^{2} - 40

Solution steps

x^{2} + 2 x - 39

Write

x^{2} + 2 x - 39

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

x^{2} + 2 x - 39 + 1^{2} - 1^{2}

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

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

(x + 1)^{2} - 39 - 1^{2}

Simplify

(x + 1)^{2} - 40

2 x - 1 - x + 2 = x^{2} - 8 - 2 x - 1

6 q^{2} = 144

5 x^{2} - 50 x + 95 = 0

x^{2} - 5 x - 30 = 0

2 x^{2} - 8 x = 7 x - x^{2}

What are the solutions to the equation completesquare x^2+2x-39 ?
The solutions to the equation completesquare x^2+2x-39 are (x+1)^2-40
Find the zeros of completesquare x^2+2x-39
The zeros of completesquare x^2+2x-39 are (x+1)^2-40