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

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

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

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

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complete the square

2 x^{2} - 5 x - 3

2 (x - \frac{5}{4})^{2} - \frac{49}{8}

Solution steps

2 x^{2} - 5 x - 3

Write

2 x^{2} - 5 x - 3

in the form:

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

Factor out

2

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

2 a = - \frac{5}{2} : a = - \frac{5}{4}

Add and subtract

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

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

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

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

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

Simplify

2 (x - \frac{5}{4})^{2} - \frac{49}{8}

u^{2} + 16 u

\frac{x ^{2}}{3} - 3 = 0

5 x^{2} + 2 x - 9 = 0

z^{2} + 21 = 10 z

x, z = 10 - x^{2} - y^{2}

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