What are the solutions to the equation 0.1x^2+100x+8=60000 ?

The solutions to the equation 0.1x^2+100x+8=60000 are x=4(8sqrt(830)-125),x=-4(125+8sqrt(830))

Find the zeros of 0.1x^2+100x+8=60000

The zeros of 0.1x^2+100x+8=60000 are x=4(8sqrt(830)-125),x=-4(125+8sqrt(830))

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0.1 x^{2} + 100 x + 8 = 60000

x = 4 (8830 - 125), x = - 4 (125 + 8830)

Decimal Notation

x = 421.91105 \dots, x = - 1421.91105 \dots

Solution steps

0.1 x^{2} + 100 x + 8 = 60000

Multiply both sides by

10

x^{2} + 1000 x + 80 = 600000

Move

600000

to the left side

x^{2} + 1000 x - 599920 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1000 \pm 100 0 ^{2} - 4 \cdot 1 \cdot ( - 599920 )}{2 \cdot 1}

100 0^{2} - 4 \cdot 1 \cdot (- 599920) = 64830

x_{1, 2} = \frac{- 1000 \pm 64 830}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1000 + 64 830}{2 \cdot 1}, x_{2} = \frac{- 1000 - 64 830}{2 \cdot 1}

x = \frac{- 1000 + 64 830}{2 \cdot 1} : 4 (8830 - 125)

x = \frac{- 1000 - 64 830}{2 \cdot 1} : - 4 (125 + 8830)

The solutions to the quadratic equation are:

x = 4 (8830 - 125), x = - 4 (125 + 8830)

7 x^{2} - 48 x = - 36

(2 x)^{2} = 2 x

4 y^{2} = 20 y

6 s^{2} + 185 = 0

9 x^{2} + 2 x + 1 = 0

What are the solutions to the equation 0.1x^2+100x+8=60000 ?
The solutions to the equation 0.1x^2+100x+8=60000 are x=4(8sqrt(830)-125),x=-4(125+8sqrt(830))
Find the zeros of 0.1x^2+100x+8=60000
The zeros of 0.1x^2+100x+8=60000 are x=4(8sqrt(830)-125),x=-4(125+8sqrt(830))