Advertisements
Advertisements
Question
Solve the equation using the factorisation method:
`(3x -2)/(2x -3) = (3x - 8)/(x + 4)`
Advertisements
Solution
`(3x -2)/(2x - 3) = (3x - 8)/(x + 4)`
⇒ (3x – 2)(x + 4) = (2x – 3)(3x – 8)
⇒ 3x2 + 12x – 2x – 8 = 6x2 – 16x – 9x + 24
⇒ 3x2 + 10x – 8 = 6x2 – 25x + 24
⇒ 3x2 – 35x + 32 = 0
⇒ 3x2 – 32x – 3x + 32 = 0
⇒ x(3x – 32) – 1(3x – 32) = 0
⇒ (x – 1)(3x – 32) = 0
If x – 1 = 0 or 3x – 32 = 0
⇒ x = 1 or x = `32/3 = 10 2/3`
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`(x - 5)(x - 6) = 25/(24)^2`
Solve the following quadratic equations by factorization:
`1/x-1/(x-2)=3` , x ≠ 0, 2
A fast train takes one hour less than a slow train for a journey of 200 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speed of the two trains.
Without solving the following quadratic equation Find the value of p for which the roots are equal
`px^2 - 4x + 3 = 0`
Solve each of the following equations by factorization:
x(x – 5) = 24
The sum of the squares of two consecutive positive even numbers is 452. Find the numbers.
Factorise : m2 + 5m + 6.
If x = 1 is a common root of ax2 + ax + 2 = 0 and x2 + x + b = 0, then, ab =
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
Two squares have sides A cm and (x + 4) cm. The sum of their areas is 656 sq. cm.Express this as an algebraic equation and solve it to find the sides of the squares.
