If a + b = 25 and a2 + b2 = 225, then find ab.
Answers
Answered by
135
(a+b)^2 = 25^2
a^2 + b^2 + 2ab = 625
225 + 2ab = 625
2ab = 625 - 225 = 400
ab = 400/2 = 200
a^2 + b^2 + 2ab = 625
225 + 2ab = 625
2ab = 625 - 225 = 400
ab = 400/2 = 200
Answered by
86
Answer:
The value of ab is 200.
Step-by-step explanation:
Given information:a + b = 25 and a² + b² = 225.
Using algebraic property
Divide both side by 2.
Therefore the value of ab is 200.
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