What are the solutions to the equation 12x^2-216x+665=0 ?

The solutions to the equation 12x^2-216x+665=0 are x=(54+sqrt(921))/6 ,x=(54-sqrt(921))/6

Find the zeros of 12x^2-216x+665=0

The zeros of 12x^2-216x+665=0 are x=(54+sqrt(921))/6 ,x=(54-sqrt(921))/6

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12 x^{2} - 216 x + 665 = 0

x = \frac{54 + 921}{6}, x = \frac{54 - 921}{6}

Decimal Notation

x = 14.05799 \dots, x = 3.94200 \dots

Solution steps

12 x^{2} - 216 x + 665 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 216 ) \pm ( - 216 ) ^{2} - 4 \cdot 12 \cdot 665}{2 \cdot 12}

(- 216)^{2} - 4 \cdot 12 \cdot 665 = 4921

x_{1, 2} = \frac{- ( - 216 ) \pm 4 921}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 216 ) + 4 921}{2 \cdot 12}, x_{2} = \frac{- ( - 216 ) - 4 921}{2 \cdot 12}

x = \frac{- ( - 216 ) + 4 921}{2 \cdot 12} : \frac{54 + 921}{6}

x = \frac{- ( - 216 ) - 4 921}{2 \cdot 12} : \frac{54 - 921}{6}

The solutions to the quadratic equation are:

x = \frac{54 + 921}{6}, x = \frac{54 - 921}{6}

x^{2} - 59 = 8 x

x^{2} + 48 = 14 x

x^{2} + 8 x - 20 = 0

15 x^{2} - 84 x - 36 = 0

2 x - x^{2} = 5

What are the solutions to the equation 12x^2-216x+665=0 ?
The solutions to the equation 12x^2-216x+665=0 are x=(54+sqrt(921))/6 ,x=(54-sqrt(921))/6
Find the zeros of 12x^2-216x+665=0
The zeros of 12x^2-216x+665=0 are x=(54+sqrt(921))/6 ,x=(54-sqrt(921))/6