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}

(x - 1) (x + 2) = e

350000 = - 2200 (t - 14)^{2} + 486430

(r + 3)^{2} - 7 = 7

80 = x^{2}

x^{2} - 9 = 160

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