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
The sum of two number a and b is 15, and the sum of their reciprocals `1/a` and `1/b` is 3/10. Find the numbers a and b.
Solve:
`1/(x + 1) - 2/(x + 2) = 3/(x + 3) - 4/(x + 4)`
Solve the following quadratic equation by factorization.
`2"x"^2 - 2"x" + 1/2 = 0`
Find the values of p for which the quadratic equation
If p and q are the roots of the equation x2 – px + q = 0, then ______.
If one of the equation x2 + ax + 3 = 0 is 1, then its other root is
Solve the following quadratic equation using formula method only
x2 - 6x + 4 = 0
The speed of an express train is x km/hr arid the speed of an ordinary train is 12 km/hr less than that of the express train. If the ordinary train takes one hour longer than the express train to cover a distance of 240 km, find the speed of the express train.
Solve the following equation by factorization
`3x - (8)/x `= 2
If the product of two positive consecutive even integers is 288, find the integers.
