The sum of two natural numbers is 8 and their product is 15. Find the numbers.
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Correct Answer – 3 and 5
`alpha+beta=8″ and “alphabeta=15.`
The quadratic equation whose roots are `alpha` and `beta` is given by
`x^(2)-8x+15=0`
`impliesx^(2)-5x-3x+15=0`
`impliesx(x-5)-3(x-5)=0`
`implies(x-3)(x-5)=0`
`:.” “x=3” or “x=5.`