What are the solutions to the equation 6x^2-54x+36=0 ?

The solutions to the equation 6x^2-54x+36=0 are x=(9+sqrt(57))/2 ,x=(9-sqrt(57))/2

Find the zeros of 6x^2-54x+36=0

The zeros of 6x^2-54x+36=0 are x=(9+sqrt(57))/2 ,x=(9-sqrt(57))/2

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6 x^{2} - 54 x + 36 = 0

x = \frac{9 + 57}{2}, x = \frac{9 - 57}{2}

Decimal Notation

x = 8.27491 \dots, x = 0.72508 \dots

Solution steps

6 x^{2} - 54 x + 36 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 54 ) \pm ( - 54 ) ^{2} - 4 \cdot 6 \cdot 36}{2 \cdot 6}

(- 54)^{2} - 4 \cdot 6 \cdot 36 = 657

x_{1, 2} = \frac{- ( - 54 ) \pm 6 57}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 54 ) + 6 57}{2 \cdot 6}, x_{2} = \frac{- ( - 54 ) - 6 57}{2 \cdot 6}

x = \frac{- ( - 54 ) + 6 57}{2 \cdot 6} : \frac{9 + 57}{2}

x = \frac{- ( - 54 ) - 6 57}{2 \cdot 6} : \frac{9 - 57}{2}

The solutions to the quadratic equation are:

x = \frac{9 + 57}{2}, x = \frac{9 - 57}{2}

b^{2} - 2 b - 15 = 0

x, s (x) = x^{2} - 6 x + 5

x, s (x) = x^{2} - 6 x + 8

(x - 2)^{2} = 4 (x + 3)

2 x^{2} - 7 x + 39 = 0

What are the solutions to the equation 6x^2-54x+36=0 ?
The solutions to the equation 6x^2-54x+36=0 are x=(9+sqrt(57))/2 ,x=(9-sqrt(57))/2
Find the zeros of 6x^2-54x+36=0
The zeros of 6x^2-54x+36=0 are x=(9+sqrt(57))/2 ,x=(9-sqrt(57))/2