What are the solutions to the equation completesquare x^2+10x-3 ?

The solutions to the equation completesquare x^2+10x-3 are (x+5)^2-28

Find the zeros of completesquare x^2+10x-3

The zeros of completesquare x^2+10x-3 are (x+5)^2-28

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complete the square

x^{2} + 10 x - 3

(x + 5)^{2} - 28

Solution steps

x^{2} + 10 x - 3

Write

x^{2} + 10 x - 3

in the form:

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

2 a = 10 : a = 5

Add and subtract

5^{2}

x^{2} + 10 x - 3 + 5^{2} - 5^{2}

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

x^{2} + 10 x + 5^{2} = (x + 5)^{2}

(x + 5)^{2} - 3 - 5^{2}

Simplify

(x + 5)^{2} - 28

- 6 = x^{2} + 4 x - 1

x, y^{2} + 2 x y + 6 x^{2} = 8

4 + 6 x - 9 x^{2} = 0

(- 2 y - 1)^{2} + (y - 1)^{2} = 5

x^{2} - 16 x + 50 = 21

What are the solutions to the equation completesquare x^2+10x-3 ?
The solutions to the equation completesquare x^2+10x-3 are (x+5)^2-28
Find the zeros of completesquare x^2+10x-3
The zeros of completesquare x^2+10x-3 are (x+5)^2-28