What are the solutions to the equation x(10x-13)=3 ?

The solutions to the equation x(10x-13)=3 are x= 3/2 ,x=-1/5

Find the zeros of x(10x-13)=3

The zeros of x(10x-13)=3 are x= 3/2 ,x=-1/5

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x (10 x - 13) = 3

x = \frac{3}{2}, x = - \frac{1}{5}

Decimal Notation

x = 1.5, x = - 0.2

Solution steps

x (10 x - 13) = 3

Expand

x (10 x - 13) : 10 x^{2} - 13 x

10 x^{2} - 13 x = 3

Move

3

to the left side

10 x^{2} - 13 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 10 ( - 3 )}{2 \cdot 10}

(- 13)^{2} - 4 \cdot 10 (- 3) = 17

x_{1, 2} = \frac{- ( - 13 ) \pm 17}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 17}{2 \cdot 10}, x_{2} = \frac{- ( - 13 ) - 17}{2 \cdot 10}

x = \frac{- ( - 13 ) + 17}{2 \cdot 10} : \frac{3}{2}

x = \frac{- ( - 13 ) - 17}{2 \cdot 10} : - \frac{1}{5}

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - \frac{1}{5}

(3 x + 2) (5 x - 1) = 4

3 t^{2} + 10 t + 1 = t

11 + 12 x^{2} = 10 - 15 x

16.1 x^{2} - 200 x - 200 = 0

x^{2} + 10 x = 2184

What are the solutions to the equation x(10x-13)=3 ?
The solutions to the equation x(10x-13)=3 are x= 3/2 ,x=-1/5
Find the zeros of x(10x-13)=3
The zeros of x(10x-13)=3 are x= 3/2 ,x=-1/5