What are the solutions to the equation 12x^2-30x+10=0 ?

The solutions to the equation 12x^2-30x+10=0 are x=(15+sqrt(105))/(12),x=(15-sqrt(105))/(12)

Find the zeros of 12x^2-30x+10=0

The zeros of 12x^2-30x+10=0 are x=(15+sqrt(105))/(12),x=(15-sqrt(105))/(12)

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12 x^{2} - 30 x + 10 = 0

x = \frac{15 + 105}{12}, x = \frac{15 - 105}{12}

Decimal Notation

x = 2.10391 \dots, x = 0.39608 \dots

Solution steps

12 x^{2} - 30 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 12 \cdot 10}{2 \cdot 12}

(- 30)^{2} - 4 \cdot 12 \cdot 10 = 2105

x_{1, 2} = \frac{- ( - 30 ) \pm 2 105}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 2 105}{2 \cdot 12}, x_{2} = \frac{- ( - 30 ) - 2 105}{2 \cdot 12}

x = \frac{- ( - 30 ) + 2 105}{2 \cdot 12} : \frac{15 + 105}{12}

x = \frac{- ( - 30 ) - 2 105}{2 \cdot 12} : \frac{15 - 105}{12}

The solutions to the quadratic equation are:

x = \frac{15 + 105}{12}, x = \frac{15 - 105}{12}

x^{2} + 7 = 8 x

3 x^{2} + 1 = - 25 x - 7

x, x^{2} + x y + y^{2} = 9

2 x^{2} - 4 x - 6 = 0

8 x^{2} - 20 x + 12 = 4

What are the solutions to the equation 12x^2-30x+10=0 ?
The solutions to the equation 12x^2-30x+10=0 are x=(15+sqrt(105))/(12),x=(15-sqrt(105))/(12)
Find the zeros of 12x^2-30x+10=0
The zeros of 12x^2-30x+10=0 are x=(15+sqrt(105))/(12),x=(15-sqrt(105))/(12)