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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