Ex 4.1 ,2
Represent the following situations in the form of quadratic equations :
(iii) Rohan s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan s present age.
Let Rohan's age = x
Rohan s mother age = x + 26
After 3 years
Rohan s age = x + 3
Rohan s mother age = (x + 26) + 3 = x + 29
Now,
Product of ages after 3 years = 360
(x + 3) (x + 29) = 360
x (x + 29) + 3 (x + 29) = 360
x2 + 29x + 3x + 87 = 360
x2 + 29x + 3x + 87 360 = 0
x2 + 32x 273 = 0
It is the form of ax2 + bx + c = 0
Where a = 1, b = 32 , c = 273
Hence, it is a quadratic equation .

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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