Advertisements
Advertisements
प्रश्न
Find the values of x if p + 7 = 0, q – 12 = 0 and x2 + px + q = 0,
Advertisements
उत्तर
p + 7 = 0, then p = – 7
and q – 12 = 0, then q = 12
Substituting the values of p and q in the given quadratic equation,
x2 – 7x + 12 = 0
⇒ x2 – 3x – 4x + 12 = 0
⇒ x(x – 3) – 4(x – 3) = 0
⇒ (x – 3) (x – 4) = 0
Either x – 3 = 0,
then x = 3
or
x – 4 = 0,
then x = 4
Hence x = 3, 4.
APPEARS IN
संबंधित प्रश्न
Find the two consecutive natural numbers whose product is 20.
A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hour more, it would have taken 30 minutes less for a journey. Find the original speed of the train.
Solve the following quadratic equations by factorization:
(x + 1) (2x + 8) = (x+7) (x+3)
The sum of two natural number is 28 and their product is 192. Find the numbers.
The sum of the squares to two consecutive positive odd numbers is 514. Find the numbers.
Solve equation using factorisation method:
4(2x – 3)2 – (2x – 3) – 14 = 0
Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
If car A use 4 litre of petrol more than car B in covering the 400 km, write down and equation in x and solve it to determine the number of litre of petrol used by car B for the journey.
Solve the following quadratic equation by factorisation:
2x2 + ax - a2 = 0 where a ∈ R.
Solve the following equation by factorization
`(2)/(3)x^2 - (1)/(3)x` = 1
A dealer sells a toy for ₹ 24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.
