What are the solutions to the equation completesquare 2x^2-3x-5 ?

The solutions to the equation completesquare 2x^2-3x-5 are 2(x-3/4)^2-49/8

Find the zeros of completesquare 2x^2-3x-5

The zeros of completesquare 2x^2-3x-5 are 2(x-3/4)^2-49/8

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complete the square

2 x^{2} - 3 x - 5

2 (x - \frac{3}{4})^{2} - \frac{49}{8}

Solution steps

2 x^{2} - 3 x - 5

Write

2 x^{2} - 3 x - 5

in the form:

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

Factor out

2

2 (x^{2} - \frac{3 x}{2} - \frac{5}{2})

2 a = - \frac{3}{2} : a = - \frac{3}{4}

Add and subtract

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

2 (x^{2} - \frac{3 x}{2} - \frac{5}{2} + (- \frac{3}{4})^{2} - (- \frac{3}{4})^{2})

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

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

2 ((x - \frac{3}{4})^{2} - \frac{5}{2} - (- \frac{3}{4})^{2})

Simplify

2 (x - \frac{3}{4})^{2} - \frac{49}{8}

2 x^{2} - 3 x - 1

\frac{1}{3} x^{2} + 10 = 7

v^{2} - 4 v

p^{2} - 2 p - 14 = - 6

k^{2} + 7 k + 10 = 0

What are the solutions to the equation completesquare 2x^2-3x-5 ?
The solutions to the equation completesquare 2x^2-3x-5 are 2(x-3/4)^2-49/8
Find the zeros of completesquare 2x^2-3x-5
The zeros of completesquare 2x^2-3x-5 are 2(x-3/4)^2-49/8