What are the solutions to the equation n^2+5n=24 ?

The solutions to the equation n^2+5n=24 are n=3,n=-8

Find the zeros of n^2+5n=24

The zeros of n^2+5n=24 are n=3,n=-8

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n^{2} + 5 n = 24

n = 3, n = - 8

Solution steps

n^{2} + 5 n = 24

Move

24

to the left side

n^{2} + 5 n - 24 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot ( - 24 )}{2 \cdot 1}

5^{2} - 4 \cdot 1 \cdot (- 24) = 11

n_{1, 2} = \frac{- 5 \pm 11}{2 \cdot 1}

Separate the solutions

n_{1} = \frac{- 5 + 11}{2 \cdot 1}, n_{2} = \frac{- 5 - 11}{2 \cdot 1}

n = \frac{- 5 + 11}{2 \cdot 1} : 3

n = \frac{- 5 - 11}{2 \cdot 1} : - 8

The solutions to the quadratic equation are:

n = 3, n = - 8

\frac{x}{7} = 6

- 6 d = - 42

\frac{2 - x}{x + 6} \geq 0

3125

(- x) (- y) (- z)

What are the solutions to the equation n^2+5n=24 ?
The solutions to the equation n^2+5n=24 are n=3,n=-8
Find the zeros of n^2+5n=24
The zeros of n^2+5n=24 are n=3,n=-8