What are the solutions to the equation 12x^2-120x+216=0 ?

The solutions to the equation 12x^2-120x+216=0 are x=5+sqrt(7),x=5-sqrt(7)

Find the zeros of 12x^2-120x+216=0

The zeros of 12x^2-120x+216=0 are x=5+sqrt(7),x=5-sqrt(7)

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12 x^{2} - 120 x + 216 = 0

x = 5 + 7, x = 5 - 7

Decimal Notation

x = 7.64575 \dots, x = 2.35424 \dots

Solution steps

12 x^{2} - 120 x + 216 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 120 ) \pm ( - 120 ) ^{2} - 4 \cdot 12 \cdot 216}{2 \cdot 12}

(- 120)^{2} - 4 \cdot 12 \cdot 216 = 247

x_{1, 2} = \frac{- ( - 120 ) \pm 24 7}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 120 ) + 24 7}{2 \cdot 12}, x_{2} = \frac{- ( - 120 ) - 24 7}{2 \cdot 12}

x = \frac{- ( - 120 ) + 24 7}{2 \cdot 12} : 5 + 7

x = \frac{- ( - 120 ) - 24 7}{2 \cdot 12} : 5 - 7

The solutions to the quadratic equation are:

x = 5 + 7, x = 5 - 7

- 7 x - 10 = 3 x^{2}

x^{2} - 1.6 x + 0.63 = 0

\frac{4 ( t - 1.4 ) ^{2}}{2} = \frac{87 t}{3.6}

2 x^{2} + 5 x + 2

x, x y + 2 x + 3 x^{2} = 4

What are the solutions to the equation 12x^2-120x+216=0 ?
The solutions to the equation 12x^2-120x+216=0 are x=5+sqrt(7),x=5-sqrt(7)
Find the zeros of 12x^2-120x+216=0
The zeros of 12x^2-120x+216=0 are x=5+sqrt(7),x=5-sqrt(7)