Advertisements
Advertisements
Question
Solve equation using factorisation method:
`4/(x + 2) - 1/(x + 3) = 4/(2x + 1)`
Solution
`4/(x + 2) - 1/(x + 3) = 4/(2x + 1)`
⇒ `(4(x + 3) - 1(x + 2))/((x + 2)(x + 3)) = 4/(2x + 1)`
⇒ `(4x + 12 - x - 2)/(x^2 + 2x + 3x + 6) = 4/(2x + 1)`
⇒ `(3x + 10)/(x^2 + 5x + 6) = 4/(2x + 1)`
⇒ (3x + 10)(2x + 1) = 4(x2 + 5x + 6)
⇒ 6x2 + 3x + 20x + 10 = 4x2 + 20x + 24
⇒ 2x2 + 3x – 14 = 0
⇒ 2x2 + 7x – 4x – 14 = 0
⇒ 2x2 + 7x – 4x – 14 = 0
⇒ x(2x + 7) – 2(2x + 7) = 0
⇒ (2x + 7)(x – 2) = 0
If 2x + 7 = 0 or x – 2 = 0
Then x = `(-7)/2` or x = 2
APPEARS IN
RELATED QUESTIONS
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Solve each of the following equations by factorization:
`9/2x=5+x^2`
Solve the following quadratic equations by factorization:
(x + 1) (2x + 8) = (x+7) (x+3)
Solve the following quadratic equation for x:
x2 − 4ax − b2 + 4a2 = 0
Solve the following quadratic equation by factorisation.
\[25 m^2 = 9\]
Solve the following equation :
`1/(("x" - 1)(x - 2)) + 1/(("x" - 2)("x" - 3)) + 1/(("x" - 3)("x" -4)) = 1/6`
Solve the following equation: `x^2 + (a + 1/a)x + 1 = 0`
The present age of the mother is square of her daughter's present age. 4 years hence, she will be 4 times as old as her daughter. Find their present ages.
A person was given Rs. 3000 for a tour. If he extends his tour programme by 5 days, he must cut down his daily expenses by Rs. 20. Find the number of days of his tour programme.
The product of two integers is –18; the integers are ______.
