What are the solutions to the equation 4x^2+27x-18=0 ?

The solutions to the equation 4x^2+27x-18=0 are x=(-27+3sqrt(113))/8 ,x=(-27-3sqrt(113))/8

Find the zeros of 4x^2+27x-18=0

The zeros of 4x^2+27x-18=0 are x=(-27+3sqrt(113))/8 ,x=(-27-3sqrt(113))/8

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4 x^{2} + 27 x - 18 = 0

x = \frac{- 27 + 3 113}{8}, x = \frac{- 27 - 3 113}{8}

Decimal Notation

x = 0.61130 \dots, x = - 7.36130 \dots

Solution steps

4 x^{2} + 27 x - 18 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 27 \pm 2 7 ^{2} - 4 \cdot 4 ( - 18 )}{2 \cdot 4}

2 7^{2} - 4 \cdot 4 (- 18) = 3113

x_{1, 2} = \frac{- 27 \pm 3 113}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 27 + 3 113}{2 \cdot 4}, x_{2} = \frac{- 27 - 3 113}{2 \cdot 4}

x = \frac{- 27 + 3 113}{2 \cdot 4} : \frac{- 27 + 3 113}{8}

x = \frac{- 27 - 3 113}{2 \cdot 4} : \frac{- 27 - 3 113}{8}

The solutions to the quadratic equation are:

x = \frac{- 27 + 3 113}{8}, x = \frac{- 27 - 3 113}{8}

\frac{6 x ^{2} + 2 x}{3} = 20 x

x^{2} - 9 x = - 29

x^{2} - 6 x + 9 = - 3

- 9 x^{2} + 153 x - 144 = 0

2 x^{2} + 4 x + 30 = 0

What are the solutions to the equation 4x^2+27x-18=0 ?
The solutions to the equation 4x^2+27x-18=0 are x=(-27+3sqrt(113))/8 ,x=(-27-3sqrt(113))/8
Find the zeros of 4x^2+27x-18=0
The zeros of 4x^2+27x-18=0 are x=(-27+3sqrt(113))/8 ,x=(-27-3sqrt(113))/8