What are the solutions to the equation 0.02-0.3x+x^2=0 ?

The solutions to the equation 0.02-0.3x+x^2=0 are x= 1/5 ,x= 1/10

Find the zeros of 0.02-0.3x+x^2=0

The zeros of 0.02-0.3x+x^2=0 are x= 1/5 ,x= 1/10

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0.02 - 0.3 x + x^{2} = 0

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

Decimal Notation

x = 0.2, x = 0.1

Solution steps

0.02 - 0.3 x + x^{2} = 0

Multiply both sides by

100

2 - 30 x + 100 x^{2} = 0

Write in the standard form

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

100 x^{2} - 30 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 100 \cdot 2}{2 \cdot 100}

(- 30)^{2} - 4 \cdot 100 \cdot 2 = 10

x_{1, 2} = \frac{- ( - 30 ) \pm 10}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 10}{2 \cdot 100}, x_{2} = \frac{- ( - 30 ) - 10}{2 \cdot 100}

x = \frac{- ( - 30 ) + 10}{2 \cdot 100} : \frac{1}{5}

x = \frac{- ( - 30 ) - 10}{2 \cdot 100} : \frac{1}{10}

The solutions to the quadratic equation are:

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

- 0.00465 x^{2} + 0.09284 x - 0.44621 = 0

x, z = y^{2} - x^{2}

s^{2} - s + 4 = 0

a^{2} + 6 0^{2} = 6 1^{2}

35 x^{2} - 30 x + 3 = 0

What are the solutions to the equation 0.02-0.3x+x^2=0 ?
The solutions to the equation 0.02-0.3x+x^2=0 are x= 1/5 ,x= 1/10
Find the zeros of 0.02-0.3x+x^2=0
The zeros of 0.02-0.3x+x^2=0 are x= 1/5 ,x= 1/10