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Sachin and Rahul attempted to solve a quadratic equation. Sachin made a mistake in writing down the constant term and ended up in roots (4,3). Rahul made a mistake in writing down coefficient of x to get roots (3,2). The correct roots of equation are:
- 6, 1
- 4, 3
- -6, -1
- -4, -3
Correct answer: 6, 1
Solution
Sachin got the x-coefficient right, so the true sum of roots = 4+3 = 7. Rahul got the constant right, so the true product = 3*2 = 6. The correct equation is x^2-7x+6=0, whose roots are 6 and 1.
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