What are the solutions to the equation 6x^2-5x-21=0 ?

The solutions to the equation 6x^2-5x-21=0 are x= 7/3 ,x=-3/2

Find the zeros of 6x^2-5x-21=0

The zeros of 6x^2-5x-21=0 are x= 7/3 ,x=-3/2

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6 x^{2} - 5 x - 21 = 0

x = \frac{7}{3}, x = - \frac{3}{2}

Decimal Notation

x = 2.33333 \dots, x = - 1.5

Solution steps

6 x^{2} - 5 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 6 ( - 21 )}{2 \cdot 6}

(- 5)^{2} - 4 \cdot 6 (- 21) = 23

x_{1, 2} = \frac{- ( - 5 ) \pm 23}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 23}{2 \cdot 6}, x_{2} = \frac{- ( - 5 ) - 23}{2 \cdot 6}

x = \frac{- ( - 5 ) + 23}{2 \cdot 6} : \frac{7}{3}

x = \frac{- ( - 5 ) - 23}{2 \cdot 6} : - \frac{3}{2}

The solutions to the quadratic equation are:

x = \frac{7}{3}, x = - \frac{3}{2}

\frac{3 n - 7}{6} = \frac{2 n + 5}{3}

x^{2} + 1.1 x - 0.3 = 0

2 π 6

x^{2} - 3 x > 3 x - 9

2 x^{2} + 14 x = 0

What are the solutions to the equation 6x^2-5x-21=0 ?
The solutions to the equation 6x^2-5x-21=0 are x= 7/3 ,x=-3/2
Find the zeros of 6x^2-5x-21=0
The zeros of 6x^2-5x-21=0 are x= 7/3 ,x=-3/2