What are the solutions to the equation 4n^2-24n-56=8 ?

The solutions to the equation 4n^2-24n-56=8 are n=8,n=-2

Find the zeros of 4n^2-24n-56=8

The zeros of 4n^2-24n-56=8 are n=8,n=-2

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4 n^{2} - 24 n - 56 = 8

n = 8, n = - 2

Solution steps

4 n^{2} - 24 n - 56 = 8

Move

8

to the left side

4 n^{2} - 24 n - 64 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 4 ( - 64 )}{2 \cdot 4}

(- 24)^{2} - 4 \cdot 4 (- 64) = 40

n_{1, 2} = \frac{- ( - 24 ) \pm 40}{2 \cdot 4}

Separate the solutions

n_{1} = \frac{- ( - 24 ) + 40}{2 \cdot 4}, n_{2} = \frac{- ( - 24 ) - 40}{2 \cdot 4}

n = \frac{- ( - 24 ) + 40}{2 \cdot 4} : 8

n = \frac{- ( - 24 ) - 40}{2 \cdot 4} : - 2

The solutions to the quadratic equation are:

n = 8, n = - 2

3 Q^{2} + 5 Q + 7 = - Q + 16

z, x^{2} + y^{2} + z^{2} = 16

4 m^{2} + 6 = 4 m + 1

x^{2} + 21 x + 38 = 0

m^{2} - 12 m + 11 = 0

What are the solutions to the equation 4n^2-24n-56=8 ?
The solutions to the equation 4n^2-24n-56=8 are n=8,n=-2
Find the zeros of 4n^2-24n-56=8
The zeros of 4n^2-24n-56=8 are n=8,n=-2