Question

If A,B are roots of quadratic equations x²+x+1=0 ,then q/a+1/B

Answer 1

Answer:

-1

Step-by-step explanation:

Let the roots of the equation $x^2 + x + 1 = 0$ be A & B

A + B = -1/1 = -1

AB = 1/1 = 1

{ Sum of roots = - (Coefficient of x) / Coefficient of x^2 }

{ Product of roots = Constant / Coefficient of x^2 }

$\frac{1}{A} + \frac{1}{B} = \frac{A + B}{AB} = \frac{-1}{1}$ = -1

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