Question

, If a and b
are the zeros of the polynomial f(x) = 6x2 + x-2, find the
value of
a/b +b/a​



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Answer 1

here is you answer........

Answer 2

$\mathcal \pink{{SOLUTION:-}}$

f(x) = 6x² + x - 2

=> 6x² + 4x - 3x - 2 = 0

2x(3x + 2) - 1(3x + 2 ) = 0

(2x - 1) (3x + 2) = 0

2x -1 = 0 or 3x + 2 = 0

x = 1/2 or x = -2/3

But a and b are the zeros of given polynomial.

•°• a = 1/2 and b = -2/3

$\tt \red{now, }$

$\tt \frac{a}{b} + \frac{b}{a} \\ \\ \tt = \frac{1}{2} + ( \frac{ - 2}{3}) \\ \\ \tt = \frac{1}{2} - \frac{2}{3} \\ \\ \tt = \frac{3 - 4}{6} = \frac{ - 1}{6} \\ \\ \mathcal \orange{{ANSWER \: \: IS \: \: \frac{ - 1}{6} }}$