What are the solutions to the equation completesquare-5x^2+94.8x ?

The solutions to the equation completesquare-5x^2+94.8x are -5(x-9.48)^2+449.352

Find the zeros of completesquare-5x^2+94.8x

The zeros of completesquare-5x^2+94.8x are -5(x-9.48)^2+449.352

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complete the square

- 5 x^{2} + 94.8 x

- 5 (x - 9.48)^{2} + 449.352

Solution steps

- 5 x^{2} + 94.8 x

Write

- 5 x^{2} + 94.8 x

in the form:

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

Factor out

- 5

- 5 (x^{2} - \frac{94.8 x}{5})

2 a = - \frac{94.8}{5} : a = - 9.48

Add and subtract

(- 9.48)^{2}

- 5 (x^{2} - \frac{94.8 x}{5} + (- 9.48)^{2} - (- 9.48)^{2})

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

x^{2} - \frac{94.8}{5} x + (- 9.48)^{2} = (x - 9.48)^{2}

- 5 ((x - 9.48)^{2} - (- 9.48)^{2})

Simplify

- 5 (x - 9.48)^{2} + 449.352

7 b - 3 b^{2} = 5 b^{2}

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

x^{2} - 2 x - 62 = 0

0 = - 16 t^{2} + 28 t + 17

(2 x - 3)^{2} = x (3 x - 1)

What are the solutions to the equation completesquare-5x^2+94.8x ?
The solutions to the equation completesquare-5x^2+94.8x are -5(x-9.48)^2+449.352
Find the zeros of completesquare-5x^2+94.8x
The zeros of completesquare-5x^2+94.8x are -5(x-9.48)^2+449.352