Advertisements
Advertisements
प्रश्न
Solve the following equation: `"m"/"n" "x"^2 + "n"/"m" = 1- 2"x"`
Advertisements
उत्तर
`"m"/"n" "x"^2 + "n"/"m" = 1- 2"x"`
Multiply by mn
m2x2 + n2 = mn - 2mnx
(mx+ n)2 = mn
mx + n =± `sqrt "mn"`
mx = - n ± `sqrt "mn"`
x = `(-"n" ± sqrt "mn")/"m"`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by Factorisation method: x2 + 7x + 10 = 0
Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.
The sum of two natural numbers is 15 and the sum of their reciprocals is `3/10`. Find the numbers.
Solve the following quadratic equations by factorization:
\[\frac{3}{x + 1} - \frac{1}{2} = \frac{2}{3x - 1}, x \neq - 1, \frac{1}{3}\]
Two pipes running together can 1 fill a cistern in 11 1/9 minutes. If one pipe takes 5 minutes more than the other to fill the cistern find the time when each pipe would fill the cistern.
Solve the following equation by factorization.
a2x2 + 2ax + 1 = 0, a ≠ 0
In an auditorium, the number of rows are equal to the number of seats in each row.If the number of rows is doubled and number of seats in each row is reduced by 5, then the total number of seats is increased by 375. How many rows were there?
Two pipes running together can fill a tank in `11(1)/(9)` minutes. If one pipe takes 5 minutes more than the other to fill the tank, find the time in which each pipe would/fill the tank.
Two natural numbers are in the ratio 3 : 4. Find the numbers if the difference between their squares is 175.
