5.6k views
5 votes
Using quadratic equation:
help me solve it

10x - (1)/(x ) = 3


User Jestges
by
4.2k points

1 Answer

3 votes

Answer:


10x - (1)/(x) = 3 \\ 10x = 3 + (1)/(x) \\ 10x = (3x + 1)/(x) \\ 10x * x = 3x + 1 \\ 10 {x}^(2) = 3x + 1 \\ 10 {x}^(2) - 3x - 1 = 0 \\ 10 {x}^(2) - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = ( - 1)/(5) \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = (1)/(2)

hope this helps you.

Have a nice day!

User Stanley Mohlala
by
4.0k points