What are the solutions to the equation 3n^2-143n+1210=0 ?

The solutions to the equation 3n^2-143n+1210=0 are n= 110/3 ,n=11

Find the zeros of 3n^2-143n+1210=0

The zeros of 3n^2-143n+1210=0 are n= 110/3 ,n=11

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3 n^{2} - 143 n + 1210 = 0

n = \frac{110}{3}, n = 11

Solution steps

3 n^{2} - 143 n + 1210 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 143 ) \pm ( - 143 ) ^{2} - 4 \cdot 3 \cdot 1210}{2 \cdot 3}

(- 143)^{2} - 4 \cdot 3 \cdot 1210 = 77

n_{1, 2} = \frac{- ( - 143 ) \pm 77}{2 \cdot 3}

Separate the solutions

n_{1} = \frac{- ( - 143 ) + 77}{2 \cdot 3}, n_{2} = \frac{- ( - 143 ) - 77}{2 \cdot 3}

n = \frac{- ( - 143 ) + 77}{2 \cdot 3} : \frac{110}{3}

n = \frac{- ( - 143 ) - 77}{2 \cdot 3} : 11

The solutions to the quadratic equation are:

n = \frac{110}{3}, n = 11

\frac{1}{6} \cdot 2

10 x + 8 = - 6

- 4 < x \leq 3

6 (- 6 g - 3) + 20 g = - 17 g

\frac{6}{11} n - \frac{3}{11} n = - 4 + \frac{23}{11}

What are the solutions to the equation 3n^2-143n+1210=0 ?
The solutions to the equation 3n^2-143n+1210=0 are n= 110/3 ,n=11
Find the zeros of 3n^2-143n+1210=0
The zeros of 3n^2-143n+1210=0 are n= 110/3 ,n=11