What are the solutions to the equation x(9x-4)=13 ?

The solutions to the equation x(9x-4)=13 are x= 13/9 ,x=-1

Find the zeros of x(9x-4)=13

The zeros of x(9x-4)=13 are x= 13/9 ,x=-1

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x (9 x - 4) = 13

x = \frac{13}{9}, x = - 1

Decimal Notation

x = 1.44444 \dots, x = - 1

Solution steps

x (9 x - 4) = 13

Expand

x (9 x - 4) : 9 x^{2} - 4 x

9 x^{2} - 4 x = 13

Move

13

to the left side

9 x^{2} - 4 x - 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 9 ( - 13 )}{2 \cdot 9}

(- 4)^{2} - 4 \cdot 9 (- 13) = 22

x_{1, 2} = \frac{- ( - 4 ) \pm 22}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 22}{2 \cdot 9}, x_{2} = \frac{- ( - 4 ) - 22}{2 \cdot 9}

x = \frac{- ( - 4 ) + 22}{2 \cdot 9} : \frac{13}{9}

x = \frac{- ( - 4 ) - 22}{2 \cdot 9} : - 1

The solutions to the quadratic equation are:

x = \frac{13}{9}, x = - 1

X^{2} + 2 X - 3 = 0

24 x^{2} - 8 x = 0

3 v^{2} - 11 v = - 6

3 y^{2} + 5 y + 2 = 0

\frac{2}{3} x^{2} + \frac{4}{3} x + 1 = 0

What are the solutions to the equation x(9x-4)=13 ?
The solutions to the equation x(9x-4)=13 are x= 13/9 ,x=-1
Find the zeros of x(9x-4)=13
The zeros of x(9x-4)=13 are x= 13/9 ,x=-1