What are the solutions to the equation 3n^2-5n=8 ?

The solutions to the equation 3n^2-5n=8 are n= 8/3 ,n=-1

Find the zeros of 3n^2-5n=8

The zeros of 3n^2-5n=8 are n= 8/3 ,n=-1

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3 n^{2} - 5 n = 8

n = \frac{8}{3}, n = - 1

Decimal Notation

n = 2.66666 \dots, n = - 1

Solution steps

3 n^{2} - 5 n = 8

Move

8

to the left side

3 n^{2} - 5 n - 8 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 ( - 8 )}{2 \cdot 3}

(- 5)^{2} - 4 \cdot 3 (- 8) = 11

n_{1, 2} = \frac{- ( - 5 ) \pm 11}{2 \cdot 3}

Separate the solutions

n_{1} = \frac{- ( - 5 ) + 11}{2 \cdot 3}, n_{2} = \frac{- ( - 5 ) - 11}{2 \cdot 3}

n = \frac{- ( - 5 ) + 11}{2 \cdot 3} : \frac{8}{3}

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

The solutions to the quadratic equation are:

n = \frac{8}{3}, n = - 1

2 (x - 7)^{2} = 2

49 x^{2} - 9 = 0

(x - 3)^{2} = 14

\frac{1}{2} x^{2} - x + 2 = 0

3 x^{2} - 9 x - 30 = 0

What are the solutions to the equation 3n^2-5n=8 ?
The solutions to the equation 3n^2-5n=8 are n= 8/3 ,n=-1
Find the zeros of 3n^2-5n=8
The zeros of 3n^2-5n=8 are n= 8/3 ,n=-1