What are the solutions to the equation 7n^2+84n+250=5 ?

The solutions to the equation 7n^2+84n+250=5 are n=-5,n=-7

Find the zeros of 7n^2+84n+250=5

The zeros of 7n^2+84n+250=5 are n=-5,n=-7

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7 n^{2} + 84 n + 250 = 5

n = - 5, n = - 7

Solution steps

7 n^{2} + 84 n + 250 = 5

Move

5

to the left side

7 n^{2} + 84 n + 245 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 84 \pm 8 4 ^{2} - 4 \cdot 7 \cdot 245}{2 \cdot 7}

8 4^{2} - 4 \cdot 7 \cdot 245 = 14

n_{1, 2} = \frac{- 84 \pm 14}{2 \cdot 7}

Separate the solutions

n_{1} = \frac{- 84 + 14}{2 \cdot 7}, n_{2} = \frac{- 84 - 14}{2 \cdot 7}

n = \frac{- 84 + 14}{2 \cdot 7} : - 5

n = \frac{- 84 - 14}{2 \cdot 7} : - 7

The solutions to the quadratic equation are:

n = - 5, n = - 7

3 x^{2} = 225

3 x^{2} = 2 - x

x^{2} - x + \frac{5}{2} = 0

1 + x^{2} = 16

x^{2} + 13 x + 40 = 0

What are the solutions to the equation 7n^2+84n+250=5 ?
The solutions to the equation 7n^2+84n+250=5 are n=-5,n=-7
Find the zeros of 7n^2+84n+250=5
The zeros of 7n^2+84n+250=5 are n=-5,n=-7