Advertisements
Advertisements
प्रश्न
Solve the following equation by factorisation :
3x2 + 11x + 10 = 0
Advertisements
उत्तर
3x2 + 11x + 10 = 0
⇒ 3x2 + 6x + 5x + 10 = 0
3x(x + 2) + 5(x + 2) = 0
⇒ (x + 2)(3x + 5) = 0
Either x + 2 = 0,
then x = –2
or
3x + 5 = 0,
then 3x = –5
⇒ x = `(–5)/(3)`
Hence x = –2, `(–5)/(3)`.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`x^2-4sqrt2x+6=0`
If two pipes function simultaneously, a reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours will the second pipe take to fill the reservoir?
The sum of two natural numbers is 9 and the sum of their reciprocals is `1/2`. Find the numbers .
Solve the following quadratic equations by factorization:
\[\frac{4}{x} - 3 = \frac{5}{2x + 3}, x \neq 0, - \frac{3}{2}\]
Write the number of real roots of the equation x2 + 3 |x| + 2 = 0.
Solve equation using factorisation method:
`2x^2 - 1/2x = 0`
Solve equation using factorisation method:
x2 – (a + b)x + ab = 0
Solve the following equation by factorization
21x2 – 8x – 4 = 0
Solve the following equation by factorization
2x2 – 9x + 10 = 0,when x∈Q
At an annual function of a school, each student gives the gift to every other student. If the number of gifts is 1980, find the number of students.
