Question

how to solve quadratic equation?
1/10+1/15=1/x

How I solved:
(3/3)1/10 + (2/2)1/15 = 1/x (30/30)
= 3/30+2/30=5/30
x = 30

other way of solving:
1/10 + 1/15 = 1/x
Divide each denominator by 5:
1/2 + 1/3 = 1/5
x = 5

Is either of these solutions correct, or is there another way?

Answer 1

as LCM of 10 and 15 is 30 so,
multiply both sides by 30 first..

Answer 2

not a quadratic equation, and your steps are odd

you can not remove the x from the denominator, unless you multiply by x to the entire equation

you cannot add the denominators together

Answer 3

@fiveatheart59 got it now..??

Answer 4

@completeidiot agree with you.. he did it in a strange way..

Answer 5

@Kashan yes, thank you

Answer 6

\[\frac{1}{10} + \frac{1}{15} = \frac{1}{x}\]

Multiply 1/10 by 3/3 to get 3/30
Multiply 1/15 by 2/2 to get 2/30:

\[\frac{3}{30} + \frac{2}{30} = \frac{1}{x}\]

Combine fractions on the left side to get:
\[\frac{5}{30} = \frac{1}{x}\]

Reduce 5/30 to 1/6:

\[\frac{1}{6} = \frac{1}{x}\]

Therefore, x = 6