What are the solutions to the equation completesquare x^2+3x-5 ?

The solutions to the equation completesquare x^2+3x-5 are (x+3/2)^2-29/4

Find the zeros of completesquare x^2+3x-5

The zeros of completesquare x^2+3x-5 are (x+3/2)^2-29/4

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complete the square

x^{2} + 3 x - 5

(x + \frac{3}{2})^{2} - \frac{29}{4}

Solution steps

x^{2} + 3 x - 5

Write

x^{2} + 3 x - 5

in the form:

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

2 a = 3 : a = \frac{3}{2}

Add and subtract

(\frac{3}{2})^{2}

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

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

x^{2} + 3 x + (\frac{3}{2})^{2} = (x + \frac{3}{2})^{2}

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

Simplify

(x + \frac{3}{2})^{2} - \frac{29}{4}

- 2 x^{2} + 20 x - 68 = 0

x, x^{2} - 6 x y - 7 y^{2} + 10 x + 2 y + 17 = 0

(x + 1) (x - 1) = 2 (x^{2} - 13)

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

- x^{2} + 9 x - 8 = 0

What are the solutions to the equation completesquare x^2+3x-5 ?
The solutions to the equation completesquare x^2+3x-5 are (x+3/2)^2-29/4
Find the zeros of completesquare x^2+3x-5
The zeros of completesquare x^2+3x-5 are (x+3/2)^2-29/4