Question

The sum of two number is 4 and their product is 3 .find the sum of squares

Answer 1

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Explanation:

The two numbers are 1

and 3 , being the two zeros of:

x2−4x+3=(x−1)(x−3)

In general we find:

(x−a)(x−b)=x2−(a+b)x+ab

Notice that the coefficient of the middle term is

−(a+b) and the constant term is ab .

Given that the two numbers are 1 and 3 , the sum of their squares is:

12+32=1+9=10