What are the solutions to the equation -1.7n^2+14.5n+70.8=0 ?

The solutions to the equation -1.7n^2+14.5n+70.8=0 are n=-59/17 ,n=12

Find the zeros of -1.7n^2+14.5n+70.8=0

The zeros of -1.7n^2+14.5n+70.8=0 are n=-59/17 ,n=12

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- 1.7 n^{2} + 14.5 n + 70.8 = 0

n = - \frac{59}{17}, n = 12

Solution steps

- 1.7 n^{2} + 14.5 n + 70.8 = 0

Multiply both sides by

10

- 17 n^{2} + 145 n + 708 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 145 \pm 14 5 ^{2} - 4 ( - 17 ) \cdot 708}{2 ( - 17 )}

14 5^{2} - 4 (- 17) \cdot 708 = 263

n_{1, 2} = \frac{- 145 \pm 263}{2 ( - 17 )}

Separate the solutions

n_{1} = \frac{- 145 + 263}{2 ( - 17 )}, n_{2} = \frac{- 145 - 263}{2 ( - 17 )}

n = \frac{- 145 + 263}{2 ( - 17 )} : - \frac{59}{17}

n = \frac{- 145 - 263}{2 ( - 17 )} : 12

The solutions to the quadratic equation are:

n = - \frac{59}{17}, n = 12

x^{2} + (x + 6)^{2} = (x + 7)^{2}

- 4 (y + 1) + 6 y = 2 (y + 2) - 8

9 x^{2} + 6 x + 1

7 - 3 x \leq - 20 or 5 x - 6 \leq 9

\frac{b ^{- 4}}{b ^{- 5}}

What are the solutions to the equation -1.7n^2+14.5n+70.8=0 ?
The solutions to the equation -1.7n^2+14.5n+70.8=0 are n=-59/17 ,n=12
Find the zeros of -1.7n^2+14.5n+70.8=0
The zeros of -1.7n^2+14.5n+70.8=0 are n=-59/17 ,n=12