What are the solutions to the equation x(9x-2)=11 ?

The solutions to the equation x(9x-2)=11 are x= 11/9 ,x=-1

Find the zeros of x(9x-2)=11

The zeros of x(9x-2)=11 are x= 11/9 ,x=-1

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x (9 x - 2) = 11

x = \frac{11}{9}, x = - 1

Decimal Notation

x = 1.22222 \dots, x = - 1

Solution steps

x (9 x - 2) = 11

Expand

x (9 x - 2) : 9 x^{2} - 2 x

9 x^{2} - 2 x = 11

Move

11

to the left side

9 x^{2} - 2 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 9 ( - 11 )}{2 \cdot 9}

(- 2)^{2} - 4 \cdot 9 (- 11) = 20

x_{1, 2} = \frac{- ( - 2 ) \pm 20}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 20}{2 \cdot 9}, x_{2} = \frac{- ( - 2 ) - 20}{2 \cdot 9}

x = \frac{- ( - 2 ) + 20}{2 \cdot 9} : \frac{11}{9}

x = \frac{- ( - 2 ) - 20}{2 \cdot 9} : - 1

The solutions to the quadratic equation are:

x = \frac{11}{9}, x = - 1

8 \cdot 10

4 (6 + x) = 48

\frac{x}{1} = 2

496.4 = 200 + 4 x + 0.1 x^{2}

d + 6 < 2

What are the solutions to the equation x(9x-2)=11 ?
The solutions to the equation x(9x-2)=11 are x= 11/9 ,x=-1
Find the zeros of x(9x-2)=11
The zeros of x(9x-2)=11 are x= 11/9 ,x=-1