What are the solutions to the equation 1.5n^2+10.5n-147=0 ?

The solutions to the equation 1.5n^2+10.5n-147=0 are n=7,n=-14

Find the zeros of 1.5n^2+10.5n-147=0

The zeros of 1.5n^2+10.5n-147=0 are n=7,n=-14

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1.5 n^{2} + 10.5 n - 147 = 0

n = 7, n = - 14

Solution steps

1.5 n^{2} + 10.5 n - 147 = 0

Multiply both sides by

10

15 n^{2} + 105 n - 1470 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 105 \pm 10 5 ^{2} - 4 \cdot 15 ( - 1470 )}{2 \cdot 15}

10 5^{2} - 4 \cdot 15 (- 1470) = 315

n_{1, 2} = \frac{- 105 \pm 315}{2 \cdot 15}

Separate the solutions

n_{1} = \frac{- 105 + 315}{2 \cdot 15}, n_{2} = \frac{- 105 - 315}{2 \cdot 15}

n = \frac{- 105 + 315}{2 \cdot 15} : 7

n = \frac{- 105 - 315}{2 \cdot 15} : - 14

The solutions to the quadratic equation are:

n = 7, n = - 14

\frac{x + 4}{3} + 3 \geq \frac{x + 10}{6}

∣ 4 x - 4 ∣ \leq 8

- \frac{4}{5} f + 1 = - 13

3 y^{2} - 5 y - 2

\frac{x}{17} \geq 1 - \frac{x}{34}

What are the solutions to the equation 1.5n^2+10.5n-147=0 ?
The solutions to the equation 1.5n^2+10.5n-147=0 are n=7,n=-14
Find the zeros of 1.5n^2+10.5n-147=0
The zeros of 1.5n^2+10.5n-147=0 are n=7,n=-14