What are the solutions to the equation 0.5x^2+5x-100=0 ?

The solutions to the equation 0.5x^2+5x-100=0 are x=10,x=-20

Find the zeros of 0.5x^2+5x-100=0

The zeros of 0.5x^2+5x-100=0 are x=10,x=-20

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0.5 x^{2} + 5 x - 100 = 0

x = 10, x = - 20

Solution steps

0.5 x^{2} + 5 x - 100 = 0

Multiply both sides by

10

5 x^{2} + 50 x - 1000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 50 \pm 5 0 ^{2} - 4 \cdot 5 ( - 1000 )}{2 \cdot 5}

5 0^{2} - 4 \cdot 5 (- 1000) = 150

x_{1, 2} = \frac{- 50 \pm 150}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 50 + 150}{2 \cdot 5}, x_{2} = \frac{- 50 - 150}{2 \cdot 5}

x = \frac{- 50 + 150}{2 \cdot 5} : 10

x = \frac{- 50 - 150}{2 \cdot 5} : - 20

The solutions to the quadratic equation are:

x = 10, x = - 20

0 = \frac{1}{4} (8 x - x^{2})

x^{2} + 3 x + 2 = 0

4 - d \cdot [4 - d + d] \cdot [4 - d + 2 d] = 16

x, m^{2} x^{2} + y^{2} = b^{2}

x, x^{2} + y^{2} - 2 (2 x + 3 y) + 14 = 0

What are the solutions to the equation 0.5x^2+5x-100=0 ?
The solutions to the equation 0.5x^2+5x-100=0 are x=10,x=-20
Find the zeros of 0.5x^2+5x-100=0
The zeros of 0.5x^2+5x-100=0 are x=10,x=-20