What are the solutions to the equation -0.2x^2+3x+0.25=0 ?

The solutions to the equation -0.2x^2+3x+0.25=0 are x=-(-15+sqrt(230))/2 ,x=(15+sqrt(230))/2

Find the zeros of -0.2x^2+3x+0.25=0

The zeros of -0.2x^2+3x+0.25=0 are x=-(-15+sqrt(230))/2 ,x=(15+sqrt(230))/2

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- 0.2 x^{2} + 3 x + 0.25 = 0

x = - \frac{- 15 + 230}{2}, x = \frac{15 + 230}{2}

Decimal Notation

x = - 0.08287 \dots, x = 15.08287 \dots

Solution steps

- 0.2 x^{2} + 3 x + 0.25 = 0

Multiply both sides by

100

- 20 x^{2} + 300 x + 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 300 \pm 30 0 ^{2} - 4 ( - 20 ) \cdot 25}{2 ( - 20 )}

30 0^{2} - 4 (- 20) \cdot 25 = 20230

x_{1, 2} = \frac{- 300 \pm 20 230}{2 ( - 20 )}

Separate the solutions

x_{1} = \frac{- 300 + 20 230}{2 ( - 20 )}, x_{2} = \frac{- 300 - 20 230}{2 ( - 20 )}

x = \frac{- 300 + 20 230}{2 ( - 20 )} : - \frac{- 15 + 230}{2}

x = \frac{- 300 - 20 230}{2 ( - 20 )} : \frac{15 + 230}{2}

The solutions to the quadratic equation are:

x = - \frac{- 15 + 230}{2}, x = \frac{15 + 230}{2}

- 110 = 10 - 5 x^{2}

x^{2} + 13 x + 27 = 0

- 2^{2} + 3^{2} = c^{2}

4 x^{2} + 4 x + 65

y, 4 y^{2} + 18 = 96 x

What are the solutions to the equation -0.2x^2+3x+0.25=0 ?
The solutions to the equation -0.2x^2+3x+0.25=0 are x=-(-15+sqrt(230))/2 ,x=(15+sqrt(230))/2
Find the zeros of -0.2x^2+3x+0.25=0
The zeros of -0.2x^2+3x+0.25=0 are x=-(-15+sqrt(230))/2 ,x=(15+sqrt(230))/2