What are the solutions to the equation 12x^2-60x+50=0 ?

The solutions to the equation 12x^2-60x+50=0 are x=(5(3+sqrt(3)))/6 ,x=(5(3-sqrt(3)))/6

Find the zeros of 12x^2-60x+50=0

The zeros of 12x^2-60x+50=0 are x=(5(3+sqrt(3)))/6 ,x=(5(3-sqrt(3)))/6

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12 x^{2} - 60 x + 50 = 0

x = \frac{5 ( 3 + 3 )}{6}, x = \frac{5 ( 3 - 3 )}{6}

Decimal Notation

x = 3.94337 \dots, x = 1.05662 \dots

Solution steps

12 x^{2} - 60 x + 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 12 \cdot 50}{2 \cdot 12}

(- 60)^{2} - 4 \cdot 12 \cdot 50 = 203

x_{1, 2} = \frac{- ( - 60 ) \pm 20 3}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 20 3}{2 \cdot 12}, x_{2} = \frac{- ( - 60 ) - 20 3}{2 \cdot 12}

x = \frac{- ( - 60 ) + 20 3}{2 \cdot 12} : \frac{5 ( 3 + 3 )}{6}

x = \frac{- ( - 60 ) - 20 3}{2 \cdot 12} : \frac{5 ( 3 - 3 )}{6}

The solutions to the quadratic equation are:

x = \frac{5 ( 3 + 3 )}{6}, x = \frac{5 ( 3 - 3 )}{6}

2 x^{2} - 5 x + 2

3 x^{2} + 6 x - 60

- 2 x^{2} - 36 x - 154 = 0

2 n^{2} - 3 = - 12

3 x^{2} + 32 x + 76 = 7

What are the solutions to the equation 12x^2-60x+50=0 ?
The solutions to the equation 12x^2-60x+50=0 are x=(5(3+sqrt(3)))/6 ,x=(5(3-sqrt(3)))/6
Find the zeros of 12x^2-60x+50=0
The zeros of 12x^2-60x+50=0 are x=(5(3+sqrt(3)))/6 ,x=(5(3-sqrt(3)))/6