Advertisements
Advertisements
Question
Solve the following quadratic equations by factorization:
a2x2 - 3abx + 2b2 = 0
Solution
a2x2 - 3abx + 2b2 = 0
⇒ a2x2 - 2abx - abx + 2b2 = 0
⇒ ax(ax - 2b) - b(ax - 2b) = 0
⇒ (ax - b)(ax - 2b) = 0
Therefore,
ax - b = 0
ax = b
x = b/a
or,
ax - 2b = 0
ax = 2b
x = 2b/a
Hence, x = b/a or x = 2b/a
APPEARS IN
RELATED QUESTIONS
The product of Ramu's age (in years) five years ago and his age (in years) nice years later is 15. Determine Ramu's present age.
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
Solve the following quadratic equation for x:
`4sqrt3x^3+5x-2sqrt3=0`
Solve the following quadratic equations by factorization:
\[16x - \frac{10}{x} = 27\]
Solve the following quadratic equations by factorization: \[\frac{1}{2a + b + 2x} = \frac{1}{2a} + \frac{1}{b} + \frac{1}{2x}\]
Five years ago, a woman’s age was the square of her son’s age. Ten years later her age will be twice that of her son’s age. Find:
The present age of the woman.
Some students planned a picnic. The budget for the food was Rs. 480. As eight of them failed to join the party, the cost of the food for each member increased by Rs. 10. Find how many students went for the picnic.
Solve the following equation by factorization
21x2 – 8x – 4 = 0
Sum of two natural numbers is 8 and the difference of their reciprocal is 2/15. Find the numbers.
Find the roots of the following quadratic equation by the factorisation method:
`3x^2 + 5sqrt(5)x - 10 = 0`
