What are the solutions to the equation x(5x-9)=14 ?

The solutions to the equation x(5x-9)=14 are x= 14/5 ,x=-1

Find the zeros of x(5x-9)=14

The zeros of x(5x-9)=14 are x= 14/5 ,x=-1

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x (5 x - 9) = 14

x = \frac{14}{5}, x = - 1

Decimal Notation

x = 2.8, x = - 1

Solution steps

x (5 x - 9) = 14

Expand

x (5 x - 9) : 5 x^{2} - 9 x

5 x^{2} - 9 x = 14

Move

14

to the left side

5 x^{2} - 9 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 5 ( - 14 )}{2 \cdot 5}

(- 9)^{2} - 4 \cdot 5 (- 14) = 19

x_{1, 2} = \frac{- ( - 9 ) \pm 19}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 19}{2 \cdot 5}, x_{2} = \frac{- ( - 9 ) - 19}{2 \cdot 5}

x = \frac{- ( - 9 ) + 19}{2 \cdot 5} : \frac{14}{5}

x = \frac{- ( - 9 ) - 19}{2 \cdot 5} : - 1

The solutions to the quadratic equation are:

x = \frac{14}{5}, x = - 1

4^{7} \times 4^{- 5}

5184

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What are the solutions to the equation x(5x-9)=14 ?
The solutions to the equation x(5x-9)=14 are x= 14/5 ,x=-1
Find the zeros of x(5x-9)=14
The zeros of x(5x-9)=14 are x= 14/5 ,x=-1