What are the solutions to the equation completesquare 2x^2-3x-10 ?

The solutions to the equation completesquare 2x^2-3x-10 are 2(x-3/4)^2-89/8

Find the zeros of completesquare 2x^2-3x-10

The zeros of completesquare 2x^2-3x-10 are 2(x-3/4)^2-89/8

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complete the square

2 x^{2} - 3 x - 10

2 (x - \frac{3}{4})^{2} - \frac{89}{8}

Solution steps

2 x^{2} - 3 x - 10

Write

2 x^{2} - 3 x - 10

in the form:

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

Factor out

2

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

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

Add and subtract

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

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

Simplify

2 (x - \frac{3}{4})^{2} - \frac{89}{8}

2 x^{2} - 12 x + 16 = 10

x^{2} + 13 = 6 x

(6 x - 1)^{2} + 4 = 0

3 x^{2} - 120 x + 950 = 0

5 q^{2} - 7 q + 4 = 6

What are the solutions to the equation completesquare 2x^2-3x-10 ?
The solutions to the equation completesquare 2x^2-3x-10 are 2(x-3/4)^2-89/8
Find the zeros of completesquare 2x^2-3x-10
The zeros of completesquare 2x^2-3x-10 are 2(x-3/4)^2-89/8