What are the solutions to the equation 3x^2-11x=20 ?

The solutions to the equation 3x^2-11x=20 are x=5,x=-4/3

Find the zeros of 3x^2-11x=20

The zeros of 3x^2-11x=20 are x=5,x=-4/3

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3 x^{2} - 11 x = 20

x = 5, x = - \frac{4}{3}

Decimal Notation

x = 5, x = - 1.33333 \dots

Solution steps

3 x^{2} - 11 x = 20

Move

20

to the left side

3 x^{2} - 11 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 ( - 20 )}{2 \cdot 3}

(- 11)^{2} - 4 \cdot 3 (- 20) = 19

x_{1, 2} = \frac{- ( - 11 ) \pm 19}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 19}{2 \cdot 3}, x_{2} = \frac{- ( - 11 ) - 19}{2 \cdot 3}

x = \frac{- ( - 11 ) + 19}{2 \cdot 3} : 5

x = \frac{- ( - 11 ) - 19}{2 \cdot 3} : - \frac{4}{3}

The solutions to the quadratic equation are:

x = 5, x = - \frac{4}{3}

16 x^{2} = 1

1 \leq 1 - \frac{1}{2} x < 4

(x - 2)^{2} - 1 = 0

2 + \frac{3}{1 + \frac{5}{2}}

\frac{330 π}{180}

What are the solutions to the equation 3x^2-11x=20 ?
The solutions to the equation 3x^2-11x=20 are x=5,x=-4/3
Find the zeros of 3x^2-11x=20
The zeros of 3x^2-11x=20 are x=5,x=-4/3