Advertisements
Advertisements
Question
Solve the following quadratic equations by factorization:
ax2 + (4a2 − 3b)x − 12ab = 0
Advertisements
Solution
Given:
ax2 + (4a2 − 3b)x − 12ab = 0
ax2 + 4a2x − 3bx − 12ab = 0
ax(x + 4a) − 3b(x + 4a) = 0
(ax − 3b) (x + 4a) = 0
Therefore,
ax − 3b = 0
ax = 3b
`x=(3b)/a`
or
x + 4a = 0
x = −4a
Hence, `x=(3b)/a` or x = −4a
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`a/(x - a) + b/(x - b) = (2c)/(x - c)`
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.
Solve the following quadratic equation by factorisation.
3x2 - 2√6x + 2 = 0
Solve the following quadratic equation by factorisation.
2m (m − 24) = 50
Solve the following equation: 25x (x + 1) = -4
Five years ago, a woman’s age was the square of her son’s age. Ten years hence, her age will be twice that of her son’s age. Find:
- the age of the son five years ago.
- the present age of the woman.
A two digit number is such that the product of its digit is 14. When 45 is added to the number, then the digit interchange their places. Find the number.
Solve the following equation by factorization
a2x2 + (a2+ b2)x + b2 = 0, a ≠ 0
For the standard form \[ 6\sqrt{3}x^{2} + 7x - \sqrt{3} = 0 \], what is the product of the middle-term numbers?
