What are the solutions to the equation 6n^2-23n+20=0 ?

The solutions to the equation 6n^2-23n+20=0 are n= 5/2 ,n= 4/3

Find the zeros of 6n^2-23n+20=0

The zeros of 6n^2-23n+20=0 are n= 5/2 ,n= 4/3

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6 n^{2} - 23 n + 20 = 0

n = \frac{5}{2}, n = \frac{4}{3}

Decimal Notation

n = 2.5, n = 1.33333 \dots

Solution steps

6 n^{2} - 23 n + 20 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 23 ) \pm ( - 23 ) ^{2} - 4 \cdot 6 \cdot 20}{2 \cdot 6}

(- 23)^{2} - 4 \cdot 6 \cdot 20 = 7

n_{1, 2} = \frac{- ( - 23 ) \pm 7}{2 \cdot 6}

Separate the solutions

n_{1} = \frac{- ( - 23 ) + 7}{2 \cdot 6}, n_{2} = \frac{- ( - 23 ) - 7}{2 \cdot 6}

n = \frac{- ( - 23 ) + 7}{2 \cdot 6} : \frac{5}{2}

n = \frac{- ( - 23 ) - 7}{2 \cdot 6} : \frac{4}{3}

The solutions to the quadratic equation are:

n = \frac{5}{2}, n = \frac{4}{3}

4 x^{2} + 2 = 30

(1 + \frac{x}{2})^{2} = (1 + \frac{0.08}{4})^{4}

x^{2} + 2 x + 5 = 2 x + 5

30 u = 9 u^{2} + 25

3^{2} + x^{2} = 13^{2}

What are the solutions to the equation 6n^2-23n+20=0 ?
The solutions to the equation 6n^2-23n+20=0 are n= 5/2 ,n= 4/3
Find the zeros of 6n^2-23n+20=0
The zeros of 6n^2-23n+20=0 are n= 5/2 ,n= 4/3