Question

1 1 If a and B are the roots of x-5x + 6 =0 then 1/a+1/B=​

Answer 1

Answer:

-5/6

Step-by-step explanation:

[NOTE : the equation must be x^2 - 5x + 6 = 0]

$\frac{1}{a} + \frac{1}{b} = \frac{a + b}{a*b}$

and a + b = Sum of roots = -(Co-efficient of x)/ Coefficient of $x^{2}$     ($\frac{-B}{A}$)

       a*b   = Product of roots = (Constant term)/Coefficient of $x^{2}$     ($\frac{C}{A}$)

Acc. to the equation A = 1, B = -5 and C = 6

Thus $\frac{1}{a} + \frac{1}{b} = \frac{a + b}{a*b}$ = $\frac{\frac{-5}{1} }{\frac{6}{1} }$ = -5/6