1.

Find two numbers with sum 4 and product 2.

Answer»

Sum of the numbers = 4

If, First number = x

Then second number = 4 – x

x(4 - x) = 2

-x2 + 4x = 2

x2 - 4x = -2

(x - 2)2 = -2 + 4

(x - 2)2 = 2

x - 2 = \(\pm\)√2

x - 2 = √2, x - 2 - √2

x = 2 + √2, x = 2 - √2

The numbers are 2 + √2, 2 - √2



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