What are the solutions to the equation 5n^2-6n-27=0 ?

The solutions to the equation 5n^2-6n-27=0 are n=3,n=-9/5

Find the zeros of 5n^2-6n-27=0

The zeros of 5n^2-6n-27=0 are n=3,n=-9/5

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5 n^{2} - 6 n - 27 = 0

n = 3, n = - \frac{9}{5}

Decimal

n = 3, n = - 1.8

Solution steps

5 n^{2} - 6 n - 27 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 5 ( - 27 )}{2 \cdot 5}

(- 6)^{2} - 4 \cdot 5 (- 27) = 24

n_{1, 2} = \frac{- ( - 6 ) \pm 24}{2 \cdot 5}

Separate the solutions

n_{1} = \frac{- ( - 6 ) + 24}{2 \cdot 5}, n_{2} = \frac{- ( - 6 ) - 24}{2 \cdot 5}

n = \frac{- ( - 6 ) + 24}{2 \cdot 5} : 3

n = \frac{- ( - 6 ) - 24}{2 \cdot 5} : - \frac{9}{5}

The solutions to the quadratic equation are:

n = 3, n = - \frac{9}{5}

x^{2} - a^{2} - b x - ab = 0

(x + 4) (x - 2) = 8

(x - 1)^{2} + 15 = 14

- 2 x^{2} - 12 x - 16 = 0

n^{2} + 5 n + 15 = 5 - 2 n

What are the solutions to the equation 5n^2-6n-27=0 ?
The solutions to the equation 5n^2-6n-27=0 are n=3,n=-9/5
Find the zeros of 5n^2-6n-27=0
The zeros of 5n^2-6n-27=0 are n=3,n=-9/5