M4maths Previous Puzzles

30 Jun 2020 Roots

Whats is the product of sum of roots and product of roots of below quadratic equation
x² -5x + 6 = 0

OPtion

1) 5/6
2) -5/6
3) 6/5
4) -6/5
5) 6
6) 5
7) -6
8) 30
9) -30
10) None of these

Solution

x² -5x + 6 = 0
=> x²-3x-2x+6
=> x(x-3) - 2(x-3)
=> (x-2)(x-3) = 0
x = 2 oe 3

Sum of roots = 5
Product of roots = 6
Product of both = 30

Correct Option: 8 Best Solution (0)