Question 17

If $$A$$ and $$B$$ are the roots of the equation $$Ax^2 - A^2x + AB = 0$$, then what is the value of $$A$$ and $$B$$ respectively?

Solution

$$A$$ and $$B$$ are the roots of the equation $$Ax^2 - A^2x + AB = 0$$

So, $$A+B=-\frac{\left(-A\right)}{A}=1\ .$$

And, $$A.B=\frac{AB}{A}=B\ .$$

or, $$A=1.$$

So, $$B=1-1=0.$$

A is correct choice.

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