What are the solutions to the equation 0=12x^2-168x+405 ?

The solutions to the equation 0=12x^2-168x+405 are x=(14+sqrt(61))/2 ,x=(14-sqrt(61))/2

Find the zeros of 0=12x^2-168x+405

The zeros of 0=12x^2-168x+405 are x=(14+sqrt(61))/2 ,x=(14-sqrt(61))/2

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0 = 12 x^{2} - 168 x + 405

x = \frac{14 + 61}{2}, x = \frac{14 - 61}{2}

Solution steps

0 = 12 x^{2} - 168 x + 405

Switch sides

12 x^{2} - 168 x + 405 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 168 ) \pm ( - 168 ) ^{2} - 4 \cdot 12 \cdot 405}{2 \cdot 12}

(- 168)^{2} - 4 \cdot 12 \cdot 405 = 1261

x_{1, 2} = \frac{- ( - 168 ) \pm 12 61}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 168 ) + 12 61}{2 \cdot 12}, x_{2} = \frac{- ( - 168 ) - 12 61}{2 \cdot 12}

x = \frac{- ( - 168 ) + 12 61}{2 \cdot 12} : \frac{14 + 61}{2}

x = \frac{- ( - 168 ) - 12 61}{2 \cdot 12} : \frac{14 - 61}{2}

The solutions to the quadratic equation are:

x = \frac{14 + 61}{2}, x = \frac{14 - 61}{2}

x^{2} + a x = 0

x^{2} + x + 13 = 0

s^{2} + 6 s + 10

- 0.004 x^{2} + 250 = 0.0024 x^{2} + 0.04 x + 100

s^{2} + 6 s + 34

What are the solutions to the equation 0=12x^2-168x+405 ?
The solutions to the equation 0=12x^2-168x+405 are x=(14+sqrt(61))/2 ,x=(14-sqrt(61))/2
Find the zeros of 0=12x^2-168x+405
The zeros of 0=12x^2-168x+405 are x=(14+sqrt(61))/2 ,x=(14-sqrt(61))/2