What are the solutions to the equation 6x^2-23x-18=0 ?

The solutions to the equation 6x^2-23x-18=0 are x= 9/2 ,x=-2/3

Find the zeros of 6x^2-23x-18=0

The zeros of 6x^2-23x-18=0 are x= 9/2 ,x=-2/3

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6 x^{2} - 23 x - 18 = 0

x = \frac{9}{2}, x = - \frac{2}{3}

Decimal Notation

x = 4.5, x = - 0.66666 \dots

Solution steps

6 x^{2} - 23 x - 18 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 23 ) \pm ( - 23 ) ^{2} - 4 \cdot 6 ( - 18 )}{2 \cdot 6}

(- 23)^{2} - 4 \cdot 6 (- 18) = 31

x_{1, 2} = \frac{- ( - 23 ) \pm 31}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 23 ) + 31}{2 \cdot 6}, x_{2} = \frac{- ( - 23 ) - 31}{2 \cdot 6}

x = \frac{- ( - 23 ) + 31}{2 \cdot 6} : \frac{9}{2}

x = \frac{- ( - 23 ) - 31}{2 \cdot 6} : - \frac{2}{3}

The solutions to the quadratic equation are:

x = \frac{9}{2}, x = - \frac{2}{3}

2 x^{2} + 5 x - 250 = 0

6 x^{2} + 2 x - 5 = 0

y^{2} - 32 y

\frac{( x - 2 ) ^{2}}{3} + \frac{14 x - 5}{6} = \frac{11}{6}

- 0.2 x^{2} + 6 x + 10 = 0

What are the solutions to the equation 6x^2-23x-18=0 ?
The solutions to the equation 6x^2-23x-18=0 are x= 9/2 ,x=-2/3
Find the zeros of 6x^2-23x-18=0
The zeros of 6x^2-23x-18=0 are x= 9/2 ,x=-2/3