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

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

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

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

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

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

Decimal Notation

x = 12.94409 \dots, x = 4.05590 \dots

Solution steps

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

Write in the standard form

a x^{2} + b x + c = 0

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}

17500 x^{2} + 6140 x + 37000 = 0

6 p^{2} - 5 p - 2 = - 6 p^{2}

3 x^{2} + 20 x - 5 = 6 x

x, 8 x^{2} - 21 x y + 13 y^{2} = 0

x^{2} + 12 x = - 2 x - 40

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