What are the solutions to the equation 3x^2-11x=4 ?

The solutions to the equation 3x^2-11x=4 are x=4,x=-1/3

Find the zeros of 3x^2-11x=4

The zeros of 3x^2-11x=4 are x=4,x=-1/3

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3 x^{2} - 11 x = 4

x = 4, x = - \frac{1}{3}

Decimal Notation

x = 4, x = - 0.33333 \dots

Solution steps

3 x^{2} - 11 x = 4

Move

4

to the left side

3 x^{2} - 11 x - 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 ( - 4 )}{2 \cdot 3}

(- 11)^{2} - 4 \cdot 3 (- 4) = 13

x_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 3}, x_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 3}

x = \frac{- ( - 11 ) + 13}{2 \cdot 3} : 4

x = \frac{- ( - 11 ) - 13}{2 \cdot 3} : - \frac{1}{3}

The solutions to the quadratic equation are:

x = 4, x = - \frac{1}{3}

3 x^{2} - 11 x + 10 = 0

- \frac{1}{3} q + \frac{1}{2} = - \frac{5}{6}

x - 2 - 3 x = - 4 x + 2

- 3 x > - 6

245 + 290 + 345

What are the solutions to the equation 3x^2-11x=4 ?
The solutions to the equation 3x^2-11x=4 are x=4,x=-1/3
Find the zeros of 3x^2-11x=4
The zeros of 3x^2-11x=4 are x=4,x=-1/3