What are the solutions to the equation 0=-4.9x^2+20.58x+357.847 ?

The solutions to the equation 0=-4.9x^2+20.58x+357.847 are x=-67/10 ,x= 109/10

Find the zeros of 0=-4.9x^2+20.58x+357.847

The zeros of 0=-4.9x^2+20.58x+357.847 are x=-67/10 ,x= 109/10

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0 = - 4.9 x^{2} + 20.58 x + 357.847

x = - \frac{67}{10}, x = \frac{109}{10}

Decimal

x = - 6.7, x = 10.9

Solution steps

0 = - 4.9 x^{2} + 20.58 x + 357.847

Multiply both sides by

1000

0 = - 4900 x^{2} + 20580 x + 357847

Switch sides

- 4900 x^{2} + 20580 x + 357847 = 0

Factor

- 4900 x^{2} + 20580 x + 357847 : - 49 (10 x + 67) (10 x - 109)

- 49 (10 x + 67) (10 x - 109) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

10 x + 67 = 0 or 10 x - 109 = 0

Solve

10 x + 67 = 0 : x = - \frac{67}{10}

Solve

10 x - 109 = 0 : x = \frac{109}{10}

The solutions to the quadratic equation are:

x = - \frac{67}{10}, x = \frac{109}{10}

t^{2} + 4 t + 5 = 0

4 x^{2} + 4 x - 3 = 0

y, 2 x^{2} + 3 y^{2} = 0

x^{2} + 2 x + 82 = 0

9 x^{2} + 12 x + 5 = 1

What are the solutions to the equation 0=-4.9x^2+20.58x+357.847 ?
The solutions to the equation 0=-4.9x^2+20.58x+357.847 are x=-67/10 ,x= 109/10
Find the zeros of 0=-4.9x^2+20.58x+357.847
The zeros of 0=-4.9x^2+20.58x+357.847 are x=-67/10 ,x= 109/10