Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by factorisation method:
`x/(x + 1) + (x + 1)/x = (34)/(15') x ≠ 0, x ≠ -1`
Advertisements
उत्तर
We have
`x/(x + 1) + (x + 1)/x = (34)/(15)`
⇒ `(x^2 + (x + 1)^2)/(x(x +1)) = (34)/(15)`
⇒ `(x^2 + x^2 + 1 + 2x)/(x^2 + x) = (34)/(15)`
⇒ `(2x^2 + 2x + 1)/(x2 + x) = (34)/(15)`
⇒ 34x2 + 34x = 30x2 + 30x + 15
⇒ 4x2 + 4x - 15 = 0
⇒ 4x2 + 10x - 6x - 15 = 0
⇒ 2x(2x + 5) -3(2x + 5) = 0
⇒ (2x + 5) (2x - 3) = 0
⇒ 2x + 5 = 0 or 2x - 3 = 0
⇒ 2x = -5 and 2x = 3
⇒ x = `-(5)/(2), x = (3)/(2)`.
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
(x − 4) (x + 2) = 0
A passenger train takes 3 hours less for a journey of 360 km, if its speed is increased by 10 km/hr from its usual speed. What is the usual speed?
A girls is twice as old as her sister. Four years hence, the product of their ages (in years) will be 160. Find their present ages.
Solve:
`1/p + 1/q + 1/x = 1/(x + p + q)`
The positive value of k for which the equation x2 + kx + 64 = 0 and x2 – 8x + k = 0 will both have real roots, is ______.
Solve equation using factorisation method:
x2 – 10x – 24 = 0
In each of the following, determine whether the given values are solution of the given equation or not:
`x^2 - sqrt(2) - 4 = 0; x = -sqrt(2), x = -2sqrt(2)`
Solve the following equation by factorization
x(6x – 1) = 35
Solve the following equation by factorization
(x – 4)2 + 52 = 132
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.
