What are the solutions to the equation 6n^2-19n+15=0 ?

The solutions to the equation 6n^2-19n+15=0 are n= 5/3 ,n= 3/2

Find the zeros of 6n^2-19n+15=0

The zeros of 6n^2-19n+15=0 are n= 5/3 ,n= 3/2

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6 n^{2} - 19 n + 15 = 0

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

Decimal Notation

n = 1.66666 \dots, n = 1.5

Solution steps

6 n^{2} - 19 n + 15 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 19 ) \pm ( - 19 ) ^{2} - 4 \cdot 6 \cdot 15}{2 \cdot 6}

(- 19)^{2} - 4 \cdot 6 \cdot 15 = 1

n_{1, 2} = \frac{- ( - 19 ) \pm 1}{2 \cdot 6}

Separate the solutions

n_{1} = \frac{- ( - 19 ) + 1}{2 \cdot 6}, n_{2} = \frac{- ( - 19 ) - 1}{2 \cdot 6}

n = \frac{- ( - 19 ) + 1}{2 \cdot 6} : \frac{5}{3}

n = \frac{- ( - 19 ) - 1}{2 \cdot 6} : \frac{3}{2}

The solutions to the quadratic equation are:

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

12 x^{2} - 2 x = 0

x^{2} - 18 x - 2 = 0

x^{2} + 306 = 16 x - 3

x^{2} + 10 x + 31 = 15 x + 21

(x - 1) (4 x - 5) = 0

What are the solutions to the equation 6n^2-19n+15=0 ?
The solutions to the equation 6n^2-19n+15=0 are n= 5/3 ,n= 3/2
Find the zeros of 6n^2-19n+15=0
The zeros of 6n^2-19n+15=0 are n= 5/3 ,n= 3/2