What are the solutions to the equation completesquare x^2+3x-8 ?

The solutions to the equation completesquare x^2+3x-8 are (x+3/2)^2-41/4

Find the zeros of completesquare x^2+3x-8

The zeros of completesquare x^2+3x-8 are (x+3/2)^2-41/4

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complete the square

x^{2} + 3 x - 8

(x + \frac{3}{2})^{2} - \frac{41}{4}

Solution steps

x^{2} + 3 x - 8

Write

x^{2} + 3 x - 8

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 - 8 + (\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} - 8 - (\frac{3}{2})^{2}

Simplify

(x + \frac{3}{2})^{2} - \frac{41}{4}

X^{2} - 3 X + 2 = 0

5 x^{2} - 30 x - 4 = 0

x^{2} + (18 - x)^{2} = 180

5 x^{2} + 10 x + 3 = 0

2 x^{2} + 12 x + 9 = 0

What are the solutions to the equation completesquare x^2+3x-8 ?
The solutions to the equation completesquare x^2+3x-8 are (x+3/2)^2-41/4
Find the zeros of completesquare x^2+3x-8
The zeros of completesquare x^2+3x-8 are (x+3/2)^2-41/4