What are the solutions to the equation 12x^2-360x+2000=0 ?

The solutions to the equation 12x^2-360x+2000=0 are x=(5(9+sqrt(21)))/3 ,x=(5(9-sqrt(21)))/3

Find the zeros of 12x^2-360x+2000=0

The zeros of 12x^2-360x+2000=0 are x=(5(9+sqrt(21)))/3 ,x=(5(9-sqrt(21)))/3

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12 x^{2} - 360 x + 2000 = 0

x = \frac{5 ( 9 + 21 )}{3}, x = \frac{5 ( 9 - 21 )}{3}

Decimal Notation

x = 22.63762 \dots, x = 7.36237 \dots

Solution steps

12 x^{2} - 360 x + 2000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 360 ) \pm ( - 360 ) ^{2} - 4 \cdot 12 \cdot 2000}{2 \cdot 12}

(- 360)^{2} - 4 \cdot 12 \cdot 2000 = 4021

x_{1, 2} = \frac{- ( - 360 ) \pm 40 21}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 360 ) + 40 21}{2 \cdot 12}, x_{2} = \frac{- ( - 360 ) - 40 21}{2 \cdot 12}

x = \frac{- ( - 360 ) + 40 21}{2 \cdot 12} : \frac{5 ( 9 + 21 )}{3}

x = \frac{- ( - 360 ) - 40 21}{2 \cdot 12} : \frac{5 ( 9 - 21 )}{3}

The solutions to the quadratic equation are:

x = \frac{5 ( 9 + 21 )}{3}, x = \frac{5 ( 9 - 21 )}{3}

x, 3 x^{2} - x^{2} y + y^{4} = 1

x, 9 x^{2} + 4 y^{2} + z^{2} = 36

z^{2} - 12 z + 6 = 0

0 = 5 x^{2} - 3 x + 1

6 (x^{2} - 4) = 21 + 6 x

What are the solutions to the equation 12x^2-360x+2000=0 ?
The solutions to the equation 12x^2-360x+2000=0 are x=(5(9+sqrt(21)))/3 ,x=(5(9-sqrt(21)))/3
Find the zeros of 12x^2-360x+2000=0
The zeros of 12x^2-360x+2000=0 are x=(5(9+sqrt(21)))/3 ,x=(5(9-sqrt(21)))/3