What are the solutions to the equation 0.1x^2+100x+8=1000 ?

The solutions to the equation 0.1x^2+100x+8=1000 are x=4(57sqrt(5)-125),x=-4(125+57sqrt(5))

Find the zeros of 0.1x^2+100x+8=1000

The zeros of 0.1x^2+100x+8=1000 are x=4(57sqrt(5)-125),x=-4(125+57sqrt(5))

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0.1 x^{2} + 100 x + 8 = 1000

x = 4 (575 - 125), x = - 4 (125 + 575)

Decimal Notation

x = 9.82349 \dots, x = - 1009.82349 \dots

Solution steps

0.1 x^{2} + 100 x + 8 = 1000

Multiply both sides by

10

x^{2} + 1000 x + 80 = 10000

Move

10000

to the left side

x^{2} + 1000 x - 9920 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1000 \pm 100 0 ^{2} - 4 \cdot 1 \cdot ( - 9920 )}{2 \cdot 1}

100 0^{2} - 4 \cdot 1 \cdot (- 9920) = 4565

x_{1, 2} = \frac{- 1000 \pm 456 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1000 + 456 5}{2 \cdot 1}, x_{2} = \frac{- 1000 - 456 5}{2 \cdot 1}

x = \frac{- 1000 + 456 5}{2 \cdot 1} : 4 (575 - 125)

x = \frac{- 1000 - 456 5}{2 \cdot 1} : - 4 (125 + 575)

The solutions to the quadratic equation are:

x = 4 (575 - 125), x = - 4 (125 + 575)

(x + 9) (x + 4) = - 26

9 y^{2} - y + 8 = 0

5 u^{2} - 19 u - 4 = 0

- 5 x^{2} + 7 x - 1 = 0

- x^{2} + 12 x - 6 = 0

What are the solutions to the equation 0.1x^2+100x+8=1000 ?
The solutions to the equation 0.1x^2+100x+8=1000 are x=4(57sqrt(5)-125),x=-4(125+57sqrt(5))
Find the zeros of 0.1x^2+100x+8=1000
The zeros of 0.1x^2+100x+8=1000 are x=4(57sqrt(5)-125),x=-4(125+57sqrt(5))