What are the solutions to the equation 0.06-x^2+0.5x=0 ?

The solutions to the equation 0.06-x^2+0.5x=0 are x=-1/10 ,x= 3/5

Find the zeros of 0.06-x^2+0.5x=0

The zeros of 0.06-x^2+0.5x=0 are x=-1/10 ,x= 3/5

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0.06 - x^{2} + 0.5 x = 0

x = - \frac{1}{10}, x = \frac{3}{5}

Decimal Notation

x = - 0.1, x = 0.6

Solution steps

0.06 - x^{2} + 0.5 x = 0

Multiply both sides by

100

6 - 100 x^{2} + 50 x = 0

Write in the standard form

a x^{2} + b x + c = 0

- 100 x^{2} + 50 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 50 \pm 5 0 ^{2} - 4 ( - 100 ) \cdot 6}{2 ( - 100 )}

5 0^{2} - 4 (- 100) \cdot 6 = 70

x_{1, 2} = \frac{- 50 \pm 70}{2 ( - 100 )}

Separate the solutions

x_{1} = \frac{- 50 + 70}{2 ( - 100 )}, x_{2} = \frac{- 50 - 70}{2 ( - 100 )}

x = \frac{- 50 + 70}{2 ( - 100 )} : - \frac{1}{10}

x = \frac{- 50 - 70}{2 ( - 100 )} : \frac{3}{5}

The solutions to the quadratic equation are:

x = - \frac{1}{10}, x = \frac{3}{5}

x^{2} - 87 = - 6

5 x^{2} - 6 x - 2 = - 9 x

x^{2} - 6 x - 105 = - 6 x - 5

x^{2} + 5 x - 81 = 5 x

(x + 2)^{2} = 9 x + 18

What are the solutions to the equation 0.06-x^2+0.5x=0 ?
The solutions to the equation 0.06-x^2+0.5x=0 are x=-1/10 ,x= 3/5
Find the zeros of 0.06-x^2+0.5x=0
The zeros of 0.06-x^2+0.5x=0 are x=-1/10 ,x= 3/5