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Popular >

3x^2+27x+54=0

Solution

3 x^{2} + 27 x + 54 = 0

Solution

x = - 3, x = - 6

Solution steps

3 x^{2} + 27 x + 54 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 27 \pm 2 7 ^{2} - 4 \cdot 3 \cdot 54}{2 \cdot 3}

2 7^{2} - 4 \cdot 3 \cdot 54 = 9

x_{1, 2} = \frac{- 27 \pm 9}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 27 + 9}{2 \cdot 3}, x_{2} = \frac{- 27 - 9}{2 \cdot 3}

x = \frac{- 27 + 9}{2 \cdot 3} : - 3

x = \frac{- 27 - 9}{2 \cdot 3} : - 6

The solutions to the quadratic equation are:

x = - 3, x = - 6

Popular Examples

simplify 3^{6/18}x^{6/12}y^{5/20}simplify

3^{\frac{6}{18}} x^{\frac{6}{12}} y^{\frac{5}{20}}

- x - 1 = x + 9

(x-2)/4-(x+7)/6 =(5x-2)/9

\frac{x - 2}{4} - \frac{x + 7}{6} = \frac{5 x - 2}{9}

simplify (1/27)^{-1/3}simplify

(\frac{1}{27})^{- \frac{1}{3}}

2(x+7)+2>= 5+3x

2 (x + 7) + 2 \geq 5 + 3 x

Frequently Asked Questions (FAQ)

What are the solutions to the equation 3x^2+27x+54=0 ?
The solutions to the equation 3x^2+27x+54=0 are x=-3,x=-6
Find the zeros of 3x^2+27x+54=0
The zeros of 3x^2+27x+54=0 are x=-3,x=-6