Q50 of 82 Page 4

Solve the following for x: (CBSE 2013)

In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized.



⇒ (4 – 3x)(2x + 3) = 5x


⇒ 8x + 12 – 6x2 – 9x = 5x


⇒ 6x2 + 6x – 12 = 0


⇒ x2 + x – 2 = 0


⇒ x2 + 2x – x – 2 = 0


⇒ x(x + 2) – (x + 2) = 0


⇒ (x – 1)(x + 2) = 0


⇒ x = 1, - 2

More from this chapter

All 82 →
48

Solve the following for x: (CBSE 2013)

 49

Solve the following for x: (CBSE 2013)

 51

While boarding an aeroplane, a passenger got hurt. The pilot showing promptness and concern, made arrangements to hospitalize the injured and so the plane started late by 30 minutes to reach the destination, 1500 km away in time, the pilot increased the speed by 100 km / hr. Find the original speed / hour of the plane. (CBSE 2013)

 52

Sum of the areas of two squares is 400 cm2. If the difference of their perimeters is 16 cm, find the sides of two squares. (CBSE 2013)