Q24 of 82 Page 4

If are the roots of the equation , find the values of a and b. (CBSE 2016)

Given: If are the roots of the equation
To find:  the values of a and b.
Solution: 
Quadratic equation in roots form:


(x – a)(x – b) = 0, where a and b are the roots


Given, are the roots of the equation


Quadratic equation is,


(x – 2/3)(x + 3) = 0


⇒ x2 -2x/3 + 3x – 2 = 0

⇒ 3x2 +7x – 6 = 0


On comparing with


We get, a = 3 and b = -6

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