Question

If (a - b)2 = 4 and (a + b)2 =
64, then find the value of a2 + b2.
68
40
34
27​

Answer 1

FØŁŁØW MƏ ❤❤✌.............

Answer 2

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GIVEN : (a-b)² = 4 & (a+b)² = 64

TO FIND : a²+b²

➡ (a-b)² = 4

» a-b = √4

» a-b = 2 ----------------------{ i }

➡ (a+b)² = 64

» a+b = √64

» a+b = 8 ----------------------{ ii }

• Eliminating eq { i } from equation { ii }

a+b = 8

a -b = 2

2a = 10

» 2a = 10

» a = 10/2

» a = 5

• Substituting the value of a in equation { ii }

➡ a+b = 8

» 5 + b = 8

» b = 8 -5

» b = 3

• Now, finding the value of a²+b²

a² + b²

» 5² + 3²

» 25 + 9

» 34

${\bf{\blue{\fbox{\underline{\color{red}{a²+b² = 34}}}}}}$