What are the solutions to the equation 3x^2-x=24 ?

The solutions to the equation 3x^2-x=24 are x=3,x=-8/3

Find the zeros of 3x^2-x=24

The zeros of 3x^2-x=24 are x=3,x=-8/3

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3 x^{2} - x = 24

x = 3, x = - \frac{8}{3}

Decimal Notation

x = 3, x = - 2.66666 \dots

Solution steps

3 x^{2} - x = 24

Move

24

to the left side

3 x^{2} - x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 3 ( - 24 )}{2 \cdot 3}

(- 1)^{2} - 4 \cdot 3 (- 24) = 17

x_{1, 2} = \frac{- ( - 1 ) \pm 17}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 17}{2 \cdot 3}, x_{2} = \frac{- ( - 1 ) - 17}{2 \cdot 3}

x = \frac{- ( - 1 ) + 17}{2 \cdot 3} : 3

x = \frac{- ( - 1 ) - 17}{2 \cdot 3} : - \frac{8}{3}

The solutions to the quadratic equation are:

x = 3, x = - \frac{8}{3}

3 q^{2} - 120 q + 950 = 0

2 (x + 1)^{2} = 40

x^{2} - 8 x - 56 = 0

x^{2} - 0.5 x - 3 = 0

4 x^{2} - 5 x = 21

What are the solutions to the equation 3x^2-x=24 ?
The solutions to the equation 3x^2-x=24 are x=3,x=-8/3
Find the zeros of 3x^2-x=24
The zeros of 3x^2-x=24 are x=3,x=-8/3