Shriya and Vidya solved a quadratic equation. In solving it, Shriya made a mistake in the constant term and obtained the roots as 5, – 3 while Vidya made a mistake in the coefficient of x and obtained the roots as 1, –3. Which of the following are the correct roots of the equation?
Shriya made a mistake in constant term only,
Thus, the sum of the roots was correct.
Sum of roots=2=−ba
Vidya made a mistake only in coefficient of x.
So the product of roots was correct.
Product of roots=−3=ca
Hence, the correct quadratic equation is x2–2x−3=0.
The roots of the correct quadratic equation are −1,3.