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}

- 4 = \frac{y}{3} 3 y

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

9 x^{2} + 54 x + 82 = 0

4 (2 - 2 x)^{2} - 43 = 38

12 = - 3 x^{2} + 16 x

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