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`
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
4x2 + 5x = 0
Solve the following quadratic equations by factorization:
5x2 - 3x - 2 = 0
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
Solve:
`1/(x + 1) - 2/(x + 2) = 3/(x + 3) - 4/(x + 4)`
Without solving the following quadratic equation Find the value of p for which the roots are equal
`px^2 - 4x + 3 = 0`
`2x^2+5x-3=0`
Determine whether the values given against the quadratic equation are the roots of the equation.
x2 + 4x – 5 = 0 , x = 1, –1
Write the sum of real roots of the equation x2 + |x| – 6 = 0.
Solve the following equation: `1/("x" - 1) + 2/("x" - 1) = 6/"x" , (x ≠ 0)`
A farmer wishes to grow a 100 m2 rectangular vegetable garden. Since he has with him only 30 m barbed wire, he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.
