What are the solutions to the equation 6n^2-238n+156=0 ?

The solutions to the equation 6n^2-238n+156=0 are n=39,n= 2/3

Find the zeros of 6n^2-238n+156=0

The zeros of 6n^2-238n+156=0 are n=39,n= 2/3

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6 n^{2} - 238 n + 156 = 0

n = 39, n = \frac{2}{3}

Decimal Notation

n = 39, n = 0.66666 \dots

Solution steps

6 n^{2} - 238 n + 156 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 238 ) \pm ( - 238 ) ^{2} - 4 \cdot 6 \cdot 156}{2 \cdot 6}

(- 238)^{2} - 4 \cdot 6 \cdot 156 = 230

n_{1, 2} = \frac{- ( - 238 ) \pm 230}{2 \cdot 6}

Separate the solutions

n_{1} = \frac{- ( - 238 ) + 230}{2 \cdot 6}, n_{2} = \frac{- ( - 238 ) - 230}{2 \cdot 6}

n = \frac{- ( - 238 ) + 230}{2 \cdot 6} : 39

n = \frac{- ( - 238 ) - 230}{2 \cdot 6} : \frac{2}{3}

The solutions to the quadratic equation are:

n = 39, n = \frac{2}{3}

196 x^{2} + 25 = 0

4 v^{2} = 2 - 2 v

4.9 x^{2} - 39.2 x + 58.8 = 0

5 x^{2} + 12 x = 0

2 x^{2} + x^{2} = 100

What are the solutions to the equation 6n^2-238n+156=0 ?
The solutions to the equation 6n^2-238n+156=0 are n=39,n= 2/3
Find the zeros of 6n^2-238n+156=0
The zeros of 6n^2-238n+156=0 are n=39,n= 2/3