Question

If a + b =2 and a - b = 10 , find the values of a square + b square and ab.<br />*​

Answer 1

Step-by-step explanation:

Given If a + b =2 and a - b = 10 , find the values of a square + b square and ab.

• Given a + b = 2
• Also a – b = 10
• Subtracting both equations we get
• 2a = 12
• Or a = 6
• Substituting this in one of the equation we get
• a + b = 2
• 6 + b = 2
• Or b = 2 – 6
• Or b = - 4
• So a = 6, b = - 4
• Now a^2 + b^2 = 6^2 + (-4)^2
•                        = 36 + 16
•                        = 52
• Now ab = 6 x – 4

              = - 24

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