What are the solutions to the equation x(7x-2)=9 ?

The solutions to the equation x(7x-2)=9 are x= 9/7 ,x=-1

Find the zeros of x(7x-2)=9

The zeros of x(7x-2)=9 are x= 9/7 ,x=-1

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x (7 x - 2) = 9

x = \frac{9}{7}, x = - 1

Decimal Notation

x = 1.28571 \dots, x = - 1

Solution steps

x (7 x - 2) = 9

Expand

x (7 x - 2) : 7 x^{2} - 2 x

7 x^{2} - 2 x = 9

Move

9

to the left side

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 7 ( - 9 )}{2 \cdot 7}

(- 2)^{2} - 4 \cdot 7 (- 9) = 16

x_{1, 2} = \frac{- ( - 2 ) \pm 16}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 16}{2 \cdot 7}, x_{2} = \frac{- ( - 2 ) - 16}{2 \cdot 7}

x = \frac{- ( - 2 ) + 16}{2 \cdot 7} : \frac{9}{7}

x = \frac{- ( - 2 ) - 16}{2 \cdot 7} : - 1

The solutions to the quadratic equation are:

x = \frac{9}{7}, x = - 1

y^{2} + 8 (y - 1) = 3

2^{- 1}

- 2 t^{2} = - 18

5 m^{2} + 12 m + 7

\frac{x + 2}{24} = \frac{9}{2}

What are the solutions to the equation x(7x-2)=9 ?
The solutions to the equation x(7x-2)=9 are x= 9/7 ,x=-1
Find the zeros of x(7x-2)=9
The zeros of x(7x-2)=9 are x= 9/7 ,x=-1