What are the solutions to the equation completesquare-8x^2+2x+10 ?

The solutions to the equation completesquare-8x^2+2x+10 are -8(x-1/8)^2+81/8

Find the zeros of completesquare-8x^2+2x+10

The zeros of completesquare-8x^2+2x+10 are -8(x-1/8)^2+81/8

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complete the square

- 8 x^{2} + 2 x + 10

- 8 (x - \frac{1}{8})^{2} + \frac{81}{8}

Solution steps

- 8 x^{2} + 2 x + 10

Write

- 8 x^{2} + 2 x + 10

in the form:

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

Factor out

- 8

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

2 a = - \frac{1}{4} : a = - \frac{1}{8}

Add and subtract

(- \frac{1}{8})^{2}

- 8 (x^{2} - \frac{x}{4} - \frac{5}{4} + (- \frac{1}{8})^{2} - (- \frac{1}{8})^{2})

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

x^{2} - \frac{1}{4} x + (- \frac{1}{8})^{2} = (x - \frac{1}{8})^{2}

- 8 ((x - \frac{1}{8})^{2} - \frac{5}{4} - (- \frac{1}{8})^{2})

Simplify

- 8 (x - \frac{1}{8})^{2} + \frac{81}{8}

a^{2} + 3. 4^{2} = 5. 6^{2}

6 t^{2} + 36 = 0

4 s^{2} - 20 s + 25 = 0

3 x^{2} - 8 x - 3 = 0

x^{2} = 729

What are the solutions to the equation completesquare-8x^2+2x+10 ?
The solutions to the equation completesquare-8x^2+2x+10 are -8(x-1/8)^2+81/8
Find the zeros of completesquare-8x^2+2x+10
The zeros of completesquare-8x^2+2x+10 are -8(x-1/8)^2+81/8