What are the solutions to the equation 3x^2-60x+100=0 ?

The solutions to the equation 3x^2-60x+100=0 are x=(10(3+sqrt(6)))/3 ,x=(10(3-sqrt(6)))/3

Find the zeros of 3x^2-60x+100=0

The zeros of 3x^2-60x+100=0 are x=(10(3+sqrt(6)))/3 ,x=(10(3-sqrt(6)))/3

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3 x^{2} - 60 x + 100 = 0

x = \frac{10 ( 3 + 6 )}{3}, x = \frac{10 ( 3 - 6 )}{3}

Decimal Notation

x = 18.16496 \dots, x = 1.83503 \dots

Solution steps

3 x^{2} - 60 x + 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 3 \cdot 100}{2 \cdot 3}

(- 60)^{2} - 4 \cdot 3 \cdot 100 = 206

x_{1, 2} = \frac{- ( - 60 ) \pm 20 6}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 20 6}{2 \cdot 3}, x_{2} = \frac{- ( - 60 ) - 20 6}{2 \cdot 3}

x = \frac{- ( - 60 ) + 20 6}{2 \cdot 3} : \frac{10 ( 3 + 6 )}{3}

x = \frac{- ( - 60 ) - 20 6}{2 \cdot 3} : \frac{10 ( 3 - 6 )}{3}

The solutions to the quadratic equation are:

x = \frac{10 ( 3 + 6 )}{3}, x = \frac{10 ( 3 - 6 )}{3}

6 x^{2} + 23 x = - 7

y^{2} - y - 2 y = 0

x, y^{2} - x^{2} + 1 = 50

x, x^{2} + 2 x + 1 = m^{2}

- 3 s^{2} - 12 s - 11 = 0

What are the solutions to the equation 3x^2-60x+100=0 ?
The solutions to the equation 3x^2-60x+100=0 are x=(10(3+sqrt(6)))/3 ,x=(10(3-sqrt(6)))/3
Find the zeros of 3x^2-60x+100=0
The zeros of 3x^2-60x+100=0 are x=(10(3+sqrt(6)))/3 ,x=(10(3-sqrt(6)))/3