What are the solutions to the equation 12x^2-204x+630=0 ?

The solutions to the equation 12x^2-204x+630=0 are x=(17+sqrt(79))/2 ,x=(17-sqrt(79))/2

Find the zeros of 12x^2-204x+630=0

The zeros of 12x^2-204x+630=0 are x=(17+sqrt(79))/2 ,x=(17-sqrt(79))/2

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12 x^{2} - 204 x + 630 = 0

x = \frac{17 + 79}{2}, x = \frac{17 - 79}{2}

Decimal Notation

x = 12.94409 \dots, x = 4.05590 \dots

Solution steps

12 x^{2} - 204 x + 630 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 204 ) \pm ( - 204 ) ^{2} - 4 \cdot 12 \cdot 630}{2 \cdot 12}

(- 204)^{2} - 4 \cdot 12 \cdot 630 = 1279

x_{1, 2} = \frac{- ( - 204 ) \pm 12 79}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 204 ) + 12 79}{2 \cdot 12}, x_{2} = \frac{- ( - 204 ) - 12 79}{2 \cdot 12}

x = \frac{- ( - 204 ) + 12 79}{2 \cdot 12} : \frac{17 + 79}{2}

x = \frac{- ( - 204 ) - 12 79}{2 \cdot 12} : \frac{17 - 79}{2}

The solutions to the quadratic equation are:

x = \frac{17 + 79}{2}, x = \frac{17 - 79}{2}

7 x^{2} - 21 x - 28 = 0

0.06 - x^{2} + 0.5 x = 0

x^{2} - 87 = - 6

5 x^{2} - 6 x - 2 = - 9 x

x^{2} - 6 x - 105 = - 6 x - 5

What are the solutions to the equation 12x^2-204x+630=0 ?
The solutions to the equation 12x^2-204x+630=0 are x=(17+sqrt(79))/2 ,x=(17-sqrt(79))/2
Find the zeros of 12x^2-204x+630=0
The zeros of 12x^2-204x+630=0 are x=(17+sqrt(79))/2 ,x=(17-sqrt(79))/2