What are the solutions to the equation n^2+3n=10 ?

The solutions to the equation n^2+3n=10 are n=2,n=-5

Find the zeros of n^2+3n=10

The zeros of n^2+3n=10 are n=2,n=-5

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n^{2} + 3 n = 10

n = 2, n = - 5

Solution steps

n^{2} + 3 n = 10

Move

10

to the left side

n^{2} + 3 n - 10 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot ( - 10 )}{2 \cdot 1}

3^{2} - 4 \cdot 1 \cdot (- 10) = 7

n_{1, 2} = \frac{- 3 \pm 7}{2 \cdot 1}

Separate the solutions

n_{1} = \frac{- 3 + 7}{2 \cdot 1}, n_{2} = \frac{- 3 - 7}{2 \cdot 1}

n = \frac{- 3 + 7}{2 \cdot 1} : 2

n = \frac{- 3 - 7}{2 \cdot 1} : - 5

The solutions to the quadratic equation are:

n = 2, n = - 5

s, (s + 4)^{2} + 9 = 0

3 x^{2} + 4 x + 9 = 8

0 = - \frac{25}{36} x^{2} + 16 \frac{2}{3} x

x^{2} - 16 x + 13 = - 10 x

x^{2} - 21 x + 81 = 0

What are the solutions to the equation n^2+3n=10 ?
The solutions to the equation n^2+3n=10 are n=2,n=-5
Find the zeros of n^2+3n=10
The zeros of n^2+3n=10 are n=2,n=-5