Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
x2– 4x – 12 = 0,when x∈N
Advertisements
उत्तर
x2 – 4x – 12 = 0
⇒ x2 – 6x + 2x – 12 = 0
⇒ x (x – 6) + 2 (x – 6) = 0
⇒ (x – 6) (x + 2) = 0
Either x – 6 = 0, then x = 6
or x + 2 = 0, then x = -2
But -2 is not a natural number
∴ x = 6.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(x-1)/(2x+1)+(2x+1)/(x-1)=5/2` , x ≠ -1/2, 1
A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.
The difference of two natural number is 3 and the difference of their reciprocals is `3/28`Find the numbers.
The sum of the squares two consecutive multiples of 7 is 1225. Find the multiples.
Solve the following quadratic equations by factorization: \[\frac{5 + x}{5 - x} - \frac{5 - x}{5 + x} = 3\frac{3}{4}; x \neq 5, - 5\]
If one root the equation 2x2 + kx + 4 = 0 is 2, then the other root is
Find the factors of the Polynomial 3x2 - 2x - 1.
Solve the following quadratic equation by factorisation:
2x2 + ax - a2 = 0 where a ∈ R.
The sum of the numerator and denominator of a certain positive fraction is 8. If 2 is added to both the numerator and denominator, the fraction is increased by `(4)/(35)`. Find the fraction.
A shopkeeper buys a certain number of books for Rs 960. If the cost per book was Rs 8 less, the number of books that could be bought for Rs 960 would be 4 more. Taking the original cost of each book to be Rs x, write an equation in x and solve it to find the original cost of each book.
