What are the solutions to the equation completesquare x^2-3x-1 ?

The solutions to the equation completesquare x^2-3x-1 are (x-3/2)^2-13/4

Find the zeros of completesquare x^2-3x-1

The zeros of completesquare x^2-3x-1 are (x-3/2)^2-13/4

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complete the square

x^{2} - 3 x - 1

(x - \frac{3}{2})^{2} - \frac{13}{4}

Solution steps

x^{2} - 3 x - 1

Write

x^{2} - 3 x - 1

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 - 1 + (- \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} - 1 - (- \frac{3}{2})^{2}

Simplify

(x - \frac{3}{2})^{2} - \frac{13}{4}

z^{2} - 12 z + 35 = 0

2 x (2 x + 1) = 5

x^{2} + \frac{3}{3} x + \frac{1}{3} = 0

x^{2} + 6 x + 9 = 1

4 a x^{2} - 4 x - (a - 2) = 0

What are the solutions to the equation completesquare x^2-3x-1 ?
The solutions to the equation completesquare x^2-3x-1 are (x-3/2)^2-13/4
Find the zeros of completesquare x^2-3x-1
The zeros of completesquare x^2-3x-1 are (x-3/2)^2-13/4