Advertisements
Advertisements
प्रश्न
Solve the following equation: `1/("x" - 1) + 2/("x" - 1) = 6/"x" , (x ≠ 0)`
उत्तर
`1/("x" - 1) + 2/("x" - 1) = 6/"x" , (x ≠ 0)`
`(("x" - 1) + 2 ("x" - 2))/(("x" - 2)("x" - 1)) = 6/"x"`
x(x + 1) + 2x(x - 2) = 6(x - 2)(x - 1)
x2 - x + 2x2 - 4x = 6(x2 - 2x - x + 2)
3x2 - 5x = 6x2 - 18x + 12
3x2 - 13x + 12 = 0
`"x"^2 - 13/3 "x" + 4 = 0`
`"x"^2 - 3"x" - 4/3 "x" + 4 = 0`
`"x"("x" - 3) - 4/3 ("x" - 3) = 0`
`("x" - 3)("x" - 4/3) = 0`
x = 3 , x = `4/3`
APPEARS IN
संबंधित प्रश्न
Solve for x :
`1/(x + 1) + 3/(5x + 1) = 5/(x + 4), x != -1, -1/5, -4`
Solve the following quadratic equations by factorization:
3x2 = -11x - 10
The sum of a number and its square is 63/4. Find the numbers.
Determine two consecutive multiples of 3, whose product is 270.
Two numbers differ by 3 and their product is 504. Find the number
The length of a hall is 5 m more than its breadth. If the area of the floor of the hall is 84 m2, what are the length and breadth of the hall?
Show that x = −2 is a solution of 3x2 + 13x + 14 = 0.
A two digit number is such that the product of the digits is 12. When 36 is added to this number the digits interchange their places. Determine the number.
Find three consecutive odd integers, the sum of whose squares is 83.
Solve the following equation by factorisation :
x(x + 1) + (x + 2)(x + 3) = 42
