Question

if a² + b²= 58 and a b= 21 find the value of a + b and a -b​

Answer 1

Answer:

Given, (a+b)^2 = a² + b²+2ab

           (a+b)^2 = 58 + 2(21)

           (a+b)^2 = 100

              ∴ a+b = 10

(a-b)^2 = a² + b²-2ab

(a-b)^2 = 58 - 2(21)

(a-b)^2 = 16

              ∴ a-b = 4

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