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

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

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

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

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

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

Decimal Notation

n = 421.91105 \dots, n = - 1421.91105 \dots

Solution steps

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

Multiply both sides by

10

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

Move

600000

to the left side

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

Solve with the quadratic formula

n_{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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

x, x^{2} y^{3} = 6^{12}

4.68 x^{2} - 15.5 x + 12.43 = 0

3 x + 18 = x^{2}

y, y^{2} + 6 y + 9 = x + 8

3 x^{2} - 5 (2 x + 7) = 0

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