Advertisements
Advertisements
Question
Solve the following equation by factorization
`x^2/(15) - x/(3) - 10` = 0
Advertisements
Solution
`x^2/(15) - x/(3) - 10` = 0
⇒ x2 - 5x - 150 = 0 ...`{(∵ - 150 = -15 xx 10),(-5 = -15 + 10):}}`
⇒ x2 - 15x + 10x - 150 = 0
⇒ x(x - 15) + 10(x - 15) = 0
⇒ (x - 15) (x + 10) = 0
EIther x - 15,
then x = 15
or
x + 10 = 0,
then x = -10
∴ x = 15, -10.
APPEARS IN
RELATED QUESTIONS
Out of a group of swans, 7/2 times the square root of the total number are playing on the share of a pond. The two remaining ones are swinging in water. Find the total number of swans.
Solve 2x2 – 9x + 10 =0; when x ∈ Q
Solve:
`1/(x + 1) - 2/(x + 2) = 3/(x + 3) - 4/(x + 4)`
Divide 57 into two parts whose product is 680.
The positive value of k for which the equation x2 + kx + 64 = 0 and x2 – 8x + k = 0 will both have real roots, is ______.
Solve the following equation :
`("x" - 1)/("x" - 2) + ("x" - 3)/("x" - 4) = 3 1/3`
Solve equation using factorisation method:
(x + 1)(2x + 8) = (x + 7)(x + 3)
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.
Solve the following quadratic equation by factorization method.
3p2 + 8p + 5 = 0
If the area of a square is 400 m2, then find the side of the square by the method of factorization.
