What are the solutions to the equation 3x^2-7x=6 ?

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

Find the zeros of 3x^2-7x=6

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

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3 x^{2} - 7 x = 6

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

Decimal Notation

x = 3, x = - 0.66666 \dots

Solution steps

3 x^{2} - 7 x = 6

Move

6

to the left side

3 x^{2} - 7 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 ( - 6 )}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 (- 6) = 11

x_{1, 2} = \frac{- ( - 7 ) \pm 11}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 11}{2 \cdot 3}, x_{2} = \frac{- ( - 7 ) - 11}{2 \cdot 3}

x = \frac{- ( - 7 ) + 11}{2 \cdot 3} : 3

x = \frac{- ( - 7 ) - 11}{2 \cdot 3} : - \frac{2}{3}

The solutions to the quadratic equation are:

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

\frac{3}{a ^{- 9} b}

(\frac{7}{8})^{- 2}

18 x^{2} - 3 x < 1

\frac{π}{\frac{1}{2}}

4 x^{2} + 8 x - 12 = 0

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