Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
a2x2 + (a2+ b2)x + b2 = 0, a ≠ 0
Advertisements
उत्तर
a2x2 + (a2+ b2)x + b2 = 0
⇒ a2x(x + 1) + b²(x + 1) = 0
⇒ (x + 1) (a2x + b2) = 0.
⇒ (x + 1) = 0, then x = -1
or
a2x + b2 = 0, then a2x = - b2.
⇒ x = `(-b^2)/a^2`
Hence x = -1, `(-b^2)/a^2`.
APPEARS IN
संबंधित प्रश्न
Solve (i) x2 + 3x – 18 = 0
(ii) (x – 4) (5x + 2) = 0
(iii) 2x2 + ax – a2 = 0; where ‘a’ is a real number
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs 90, find the number of articles produced and the cost of each article.
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:
(m – 3)x2 – 4x + 1 = 0
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also find the solution of the equation:
3x2 + 12x + (m + 7) = 0
Find the two consecutive positive even integers whose product is 288.
Solve the given quadratic equation for x : 9x2 – 9(a + b)x + (2a2 + 5ab + 2b2) = 0 ?
If the equation x2 − bx + 1 = 0 does not possess real roots, then
The sum of a number and its reciprocal is `2 9/40`. Find the number.
The speed of an express train is x km/hr arid the speed of an ordinary train is 12 km/hr less than that of the express train. If the ordinary train takes one hour longer than the express train to cover a distance of 240 km, find the speed of the express train.
Solve the following equation by factorization
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
