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

The solutions to the equation completesquare x^2+3x-2 are (x+3/2)^2-17/4

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

The zeros of completesquare x^2+3x-2 are (x+3/2)^2-17/4

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complete the square

x^{2} + 3 x - 2

(x + \frac{3}{2})^{2} - \frac{17}{4}

Solution steps

x^{2} + 3 x - 2

Write

x^{2} + 3 x - 2

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

Simplify

(x + \frac{3}{2})^{2} - \frac{17}{4}

x (x + 1) = 1

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

9 x^{2} - 24 x + 17 = 0

2 x^{2} + 21 x - 11 = 0

6 x^{2} - 12 x = 3

What are the solutions to the equation completesquare x^2+3x-2 ?
The solutions to the equation completesquare x^2+3x-2 are (x+3/2)^2-17/4
Find the zeros of completesquare x^2+3x-2
The zeros of completesquare x^2+3x-2 are (x+3/2)^2-17/4