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 for x :
`3/(x+1)+4/(x-1)=29/(4x-1);x!=1,-1,1/4`
Solve the following quadratic equations by factorization:
`(2x – 3)^2 = 49`
Find two consecutive multiples of 3 whose product is 648.
Write the number of zeroes in the end of a number whose prime factorization is 22 × 53 × 32 × 17.
Solve the equation x4 + 2x3 - 13x2 + 2x + 1 = 0.
Solve the following equation by factorization
`a/(ax - 1) + b/(bx - 1) = a + b, a + b ≠ 0, ab ≠ 0`
The lengths of the parallel sides of a trapezium are (x + 9) cm and (2x – 3) cm and the distance between them is (x + 4) cm. If its area is 540 cm2, find x.
Car A travels ‘x’ km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
- Write down the number of litres of petrol used by car A and car B in covering a distance of 400 km.
- If car A uses 4 litres of petrol more than car B in covering 400 km. write down an equation, in A and solve it to determine the number of litres of petrol used by car B for the journey.
By selling an article for Rs. 21, a trader loses as much per cent as the cost price of the article. Find the cost price.
Solve the following quadratic equation by factorisation method:
x2 + x – 20 = 0
