What are the solutions to the equation 6x(x-1)=25-11x ?

The solutions to the equation 6x(x-1)=25-11x are x= 5/3 ,x=-5/2

Find the zeros of 6x(x-1)=25-11x

The zeros of 6x(x-1)=25-11x are x= 5/3 ,x=-5/2

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6 x (x - 1) = 25 - 11 x

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

Decimal Notation

x = 1.66666 \dots, x = - 2.5

Solution steps

6 x (x - 1) = 25 - 11 x

Expand

6 x (x - 1) : 6 x^{2} - 6 x

6 x^{2} - 6 x = 25 - 11 x

Move

11 x

to the left side

6 x^{2} + 5 x = 25

Move

25

to the left side

6 x^{2} + 5 x - 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 6 ( - 25 )}{2 \cdot 6}

5^{2} - 4 \cdot 6 (- 25) = 25

x_{1, 2} = \frac{- 5 \pm 25}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 5 + 25}{2 \cdot 6}, x_{2} = \frac{- 5 - 25}{2 \cdot 6}

x = \frac{- 5 + 25}{2 \cdot 6} : \frac{5}{3}

x = \frac{- 5 - 25}{2 \cdot 6} : - \frac{5}{2}

The solutions to the quadratic equation are:

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

x^{2} = - 4

x^{2} + 50 = 0

\frac{1}{2} (- 2) - 2

\frac{x}{6} = 6

\frac{9}{10} - \frac{3}{8}

What are the solutions to the equation 6x(x-1)=25-11x ?
The solutions to the equation 6x(x-1)=25-11x are x= 5/3 ,x=-5/2
Find the zeros of 6x(x-1)=25-11x
The zeros of 6x(x-1)=25-11x are x= 5/3 ,x=-5/2