What are the solutions to the equation -0.3x^2-3.5x+20=0 ?

The solutions to the equation -0.3x^2-3.5x+20=0 are x=-(35+5sqrt(145))/6 ,x=(5sqrt(145)-35)/6

Find the zeros of -0.3x^2-3.5x+20=0

The zeros of -0.3x^2-3.5x+20=0 are x=-(35+5sqrt(145))/6 ,x=(5sqrt(145)-35)/6

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- 0.3 x^{2} - 3.5 x + 20 = 0

x = - \frac{35 + 5 145}{6}, x = \frac{5 145 - 35}{6}

Decimal Notation

x = - 15.86799 \dots, x = 4.20132 \dots

Solution steps

- 0.3 x^{2} - 3.5 x + 20 = 0

Multiply both sides by

10

- 3 x^{2} - 35 x + 200 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 35 ) \pm ( - 35 ) ^{2} - 4 ( - 3 ) \cdot 200}{2 ( - 3 )}

(- 35)^{2} - 4 (- 3) \cdot 200 = 5145

x_{1, 2} = \frac{- ( - 35 ) \pm 5 145}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- ( - 35 ) + 5 145}{2 ( - 3 )}, x_{2} = \frac{- ( - 35 ) - 5 145}{2 ( - 3 )}

x = \frac{- ( - 35 ) + 5 145}{2 ( - 3 )} : - \frac{35 + 5 145}{6}

x = \frac{- ( - 35 ) - 5 145}{2 ( - 3 )} : \frac{5 145 - 35}{6}

The solutions to the quadratic equation are:

x = - \frac{35 + 5 145}{6}, x = \frac{5 145 - 35}{6}

- y^{2} - 2 y

3 a^{2} + 8 a + 5 = 0

6750000 = 100 x - 0.0001 x^{2}

x, 10 0^{2} + 13 0^{2} = x^{2}

9 d^{2} + 12 d + 1 = - 3

What are the solutions to the equation -0.3x^2-3.5x+20=0 ?
The solutions to the equation -0.3x^2-3.5x+20=0 are x=-(35+5sqrt(145))/6 ,x=(5sqrt(145)-35)/6
Find the zeros of -0.3x^2-3.5x+20=0
The zeros of -0.3x^2-3.5x+20=0 are x=-(35+5sqrt(145))/6 ,x=(5sqrt(145)-35)/6