What are the solutions to the equation completesquare x^2-6.5x-1.5 ?

The solutions to the equation completesquare x^2-6.5x-1.5 are (x-3.25)^2-12.0625

Find the zeros of completesquare x^2-6.5x-1.5

The zeros of completesquare x^2-6.5x-1.5 are (x-3.25)^2-12.0625

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complete the square

x^{2} - 6.5 x - 1.5

(x - 3.25)^{2} - 12.0625

Solution steps

x^{2} - 6.5 x - 1.5

Write

x^{2} - 6.5 x - 1.5

in the form:

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

2 a = - 6.5 : a = - 3.25

Add and subtract

(- 3.25)^{2}

x^{2} - 6.5 x - 1.5 + (- 3.25)^{2} - (- 3.25)^{2}

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

x^{2} - 6.5 x + (- 3.25)^{2} = (x - 3.25)^{2}

(x - 3.25)^{2} - 1.5 - (- 3.25)^{2}

Simplify

(x - 3.25)^{2} - 12.0625

0 = - 0.525 x^{2} + 2.1 x + 1.9

12 x^{2} - 16 x = 0

x = x^{2} + 5 x - 5

3 t^{2} - 14 t + 16 = 0

x^{2} + 1.5 x + 0.5 = 0

What are the solutions to the equation completesquare x^2-6.5x-1.5 ?
The solutions to the equation completesquare x^2-6.5x-1.5 are (x-3.25)^2-12.0625
Find the zeros of completesquare x^2-6.5x-1.5
The zeros of completesquare x^2-6.5x-1.5 are (x-3.25)^2-12.0625