What are the solutions to the equation 3x^2-x=10 ?

The solutions to the equation 3x^2-x=10 are x=2,x=-5/3

Find the zeros of 3x^2-x=10

The zeros of 3x^2-x=10 are x=2,x=-5/3

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3 x^{2} - x = 10

x = 2, x = - \frac{5}{3}

Decimal Notation

x = 2, x = - 1.66666 \dots

Solution steps

3 x^{2} - x = 10

Move

10

to the left side

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 3 ( - 10 )}{2 \cdot 3}

(- 1)^{2} - 4 \cdot 3 (- 10) = 11

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

Separate the solutions

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

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

x = \frac{- ( - 1 ) - 11}{2 \cdot 3} : - \frac{5}{3}

The solutions to the quadratic equation are:

x = 2, x = - \frac{5}{3}

740

9 w^{2} - 48 w + 64

143

\frac{4 x + 3}{2 x - 5} < 6

(27 + 36) (52 + 43)

What are the solutions to the equation 3x^2-x=10 ?
The solutions to the equation 3x^2-x=10 are x=2,x=-5/3
Find the zeros of 3x^2-x=10
The zeros of 3x^2-x=10 are x=2,x=-5/3