Question

5. If x = 2/3 and x = -3 are the roots of the equation ax + 7x + b = 0, find the values of a
and b.
(CBSE 2016, 2019)
ANSWERS​

Answer 1

Answer :-

$the \: roots \: are \: = > x = \frac{2}{3} \: and \: \: x = - 3 \\ = > (x - \frac{2}{ 3} ) \: (x + 3) = 0 \\ = > {x}^{2} + 3x - \frac{2}{3} x - 2 = 0 \\ = > {x}^{2} + \frac{7}{3} x - 2 = 0 \\ = > 3 {x}^{2} + 7x - 6 = 0 \\ \\ now \: compare \: the \\ \: equation \: with \: a {x}^{2} + 7x - 6 = 0 \\ so \: the \: value \: of \: a = 3 \\ and \: b \: = - 6$

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