Question

If a square +b square =34 and ab=15,find the value of a+b and a-b.

PLZ HElP....

Answer 1

(a+b)² = a² + b² + 2ab = 34 + 2*15 = 64

⇒ (a+b)² = 64

⇒ a+b = √64 = 8

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(a-b)² = a² + b² - 2ab = 34 - 2*15 = 4

⇒ (a-b)² = 4

⇒ a-b = √4 = 2

Answer 2

Here the value of a = 5 and the value of b= 3 then the given problem satisfies its solution.
when a = 5 and b = 3 then as follows
(5×5)+(3×3) = 34
a + b = 5+3 = 8
a -b = 5-3 = 2