What are the solutions to the equation n^2+10n-45=0 ?

The solutions to the equation n^2+10n-45=0 are n=-5+sqrt(70),n=-5-sqrt(70)

Find the zeros of n^2+10n-45=0

The zeros of n^2+10n-45=0 are n=-5+sqrt(70),n=-5-sqrt(70)

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n^{2} + 10 n - 45 = 0

n = - 5 + 70, n = - 5 - 70

Decimal Notation

n = 3.36660 \dots, n = - 13.36660 \dots

Solution steps

n^{2} + 10 n - 45 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot ( - 45 )}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot (- 45) = 270

n_{1, 2} = \frac{- 10 \pm 2 70}{2 \cdot 1}

Separate the solutions

n_{1} = \frac{- 10 + 2 70}{2 \cdot 1}, n_{2} = \frac{- 10 - 2 70}{2 \cdot 1}

n = \frac{- 10 + 2 70}{2 \cdot 1} : - 5 + 70

n = \frac{- 10 - 2 70}{2 \cdot 1} : - 5 - 70

The solutions to the quadratic equation are:

n = - 5 + 70, n = - 5 - 70

3 x^{2} - 6 x = 24

- 0.1 x^{2} + 90 x = 8000

\frac{13}{2 + 3 i}

x^{3} + 10 x^{2} + 12 x - 72

1 - \frac{1}{85} x^{2} = 0

What are the solutions to the equation n^2+10n-45=0 ?
The solutions to the equation n^2+10n-45=0 are n=-5+sqrt(70),n=-5-sqrt(70)
Find the zeros of n^2+10n-45=0
The zeros of n^2+10n-45=0 are n=-5+sqrt(70),n=-5-sqrt(70)