What are the solutions to the equation 0.25x^2+8.5x-17=0 ?

The solutions to the equation 0.25x^2+8.5x-17=0 are x=-17+sqrt(357),x=-17-sqrt(357)

Find the zeros of 0.25x^2+8.5x-17=0

The zeros of 0.25x^2+8.5x-17=0 are x=-17+sqrt(357),x=-17-sqrt(357)

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0.25 x^{2} + 8.5 x - 17 = 0

x = - 17 + 357, x = - 17 - 357

Decimal Notation

x = 1.89444 \dots, x = - 35.89444 \dots

Solution steps

0.25 x^{2} + 8.5 x - 17 = 0

Multiply both sides by

100

25 x^{2} + 850 x - 1700 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 850 \pm 85 0 ^{2} - 4 \cdot 25 ( - 1700 )}{2 \cdot 25}

85 0^{2} - 4 \cdot 25 (- 1700) = 50357

x_{1, 2} = \frac{- 850 \pm 50 357}{2 \cdot 25}

Separate the solutions

x_{1} = \frac{- 850 + 50 357}{2 \cdot 25}, x_{2} = \frac{- 850 - 50 357}{2 \cdot 25}

x = \frac{- 850 + 50 357}{2 \cdot 25} : - 17 + 357

x = \frac{- 850 - 50 357}{2 \cdot 25} : - 17 - 357

The solutions to the quadratic equation are:

x = - 17 + 357, x = - 17 - 357

2 x^{2} - 5 x - 84 = - 3 x

v^{2} + 6 v + 5 = 0

0 = x^{2} + 11 x + 18

x^{2} - 10 x = 50

x^{2} - 10 x = 46

What are the solutions to the equation 0.25x^2+8.5x-17=0 ?
The solutions to the equation 0.25x^2+8.5x-17=0 are x=-17+sqrt(357),x=-17-sqrt(357)
Find the zeros of 0.25x^2+8.5x-17=0
The zeros of 0.25x^2+8.5x-17=0 are x=-17+sqrt(357),x=-17-sqrt(357)