What are the solutions to the equation completesquare-4.9x^2-3x+30 ?

The solutions to the equation completesquare-4.9x^2-3x+30 are -4.9(x+0.30612…)^2+30.45918…

Find the zeros of completesquare-4.9x^2-3x+30

The zeros of completesquare-4.9x^2-3x+30 are -4.9(x+0.30612…)^2+30.45918…

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complete the square

- 4.9 x^{2} - 3 x + 30

- 4.9 (x + 0.30612 \dots)^{2} + 30.45918 \dots

Solution steps

- 4.9 x^{2} - 3 x + 30

Write

- 4.9 x^{2} - 3 x + 30

in the form:

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

Factor out

- 4.9

- 4.9 (x^{2} + \frac{3 x}{4.9} - \frac{30}{4.9})

2 a = \frac{3}{4.9} : a = 0.30612 \dots

Add and subtract

0.30612 \dots^{2}

- 4.9 (x^{2} + \frac{3 x}{4.9} - \frac{30}{4.9} + 0.30612 \dots^{2} - 0.30612 \dots^{2})

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

x^{2} + \frac{3}{4.9} x + 0.30612 \dots^{2} = (x + 0.30612 \dots)^{2}

- 4.9 ((x + 0.30612 \dots)^{2} - \frac{30}{4.9} - 0.30612 \dots^{2})

Simplify

- 4.9 (x + 0.30612 \dots)^{2} + 30.45918 \dots

5 x^{2} + 30 x + 45 = 0

y^{2} - 5 y = 2 y

- 3 x^{2} - 12 x - 5 = 0

20 x^{2} + 25 x = 0

4 m^{2} - 64 = 0

What are the solutions to the equation completesquare-4.9x^2-3x+30 ?
The solutions to the equation completesquare-4.9x^2-3x+30 are -4.9(x+0.30612…)^2+30.45918…
Find the zeros of completesquare-4.9x^2-3x+30
The zeros of completesquare-4.9x^2-3x+30 are -4.9(x+0.30612…)^2+30.45918…