Question

Find the quadratic equation whose roots are 2and3

Answer 1

Sum of roots = 2+3= 5

Product = 2 x 3= 6

Req eqn;-

x²-5x+6=0

Answer 2

Given roots, 2 and 3

Therefore,

Sum of roots= 2+3

= 5

And,

Product of roots= 2×3

= 6

So reqd. quadratic equation,

x^2 - (sum of roots)x + (product of roots)

=x^2-5x+6

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