Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
2x2 – 9x + 10 = 0,when x∈N
उत्तर
2x2 – 9x + 10 = 0
⇒ 2x² – 4x – 5x + 10 = 0
⇒ 2x(x – 2) – 5(x – 2) = 0
⇒ (x - 2) (2x - 5) = 0
Either x - 2 = 0,
then x = 2,
or
2x - 5 = 0,
then 2x = 5
⇒ x = `(5)/(2)`
When x ∈ N, then x = 2.
APPEARS IN
संबंधित प्रश्न
Find two consecutive positive integers, sum of whose squares is 365.
Solve the following quadratic equations by factorization:
`x^2-4sqrt2x+6=0`
Solve the following quadratic equations by factorization:
`5/(x - 2) - 3/(x + 6) = 4/x`
Solve the following equation: 25x (x + 1) = -4
The difference of the square of two natural numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
The speed of a boat in still water is 15km/ hr. It can go 30km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.
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.
Solve the following quadratic equation by factorisation:
x2 - 3x - 10 = 0
Solve the following equation by factorization
(x – 3) (2x + 5) = 0
Harish made a rectangular garden, with its length 5 metres more than its width. The next year, he increased the length by 3 metres and decreased the width by 2 metres. If the area of the second garden was 119 sq m, was the second garden larger or smaller ?
