What are the solutions to the equation 6x^2=10+11x ?

The solutions to the equation 6x^2=10+11x are x= 5/2 ,x=-2/3

Find the zeros of 6x^2=10+11x

The zeros of 6x^2=10+11x are x= 5/2 ,x=-2/3

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6 x^{2} = 10 + 11 x

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

Decimal Notation

x = 2.5, x = - 0.66666 \dots

Solution steps

6 x^{2} = 10 + 11 x

Move

11 x

to the left side

6 x^{2} - 11 x = 10

Move

10

to the left side

6 x^{2} - 11 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 6 ( - 10 )}{2 \cdot 6}

(- 11)^{2} - 4 \cdot 6 (- 10) = 19

x_{1, 2} = \frac{- ( - 11 ) \pm 19}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 19}{2 \cdot 6}, x_{2} = \frac{- ( - 11 ) - 19}{2 \cdot 6}

x = \frac{- ( - 11 ) + 19}{2 \cdot 6} : \frac{5}{2}

x = \frac{- ( - 11 ) - 19}{2 \cdot 6} : - \frac{2}{3}

The solutions to the quadratic equation are:

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

x, x^{2} - 16 x = 5 x - 9

3 x^{2} - 18 x + 7 = 0

x^{2} - 10 x + 75 = 0

10 - 3 x = x^{2} - 6 x

13 n^{2} - 7 = - 6 - 3 n^{2}

What are the solutions to the equation 6x^2=10+11x ?
The solutions to the equation 6x^2=10+11x are x= 5/2 ,x=-2/3
Find the zeros of 6x^2=10+11x
The zeros of 6x^2=10+11x are x= 5/2 ,x=-2/3