If a + b = 5 and ab = 2, then find the value of a2 + b 2 .
Anonymous:
a2+b2=[a+b]2-2ab
Answers
Answered by
35
hey mate
(a+b)^2=a^2+b^2+2ab
a^2+b^2=(a+b)^2-2ab
5^2-2(2)
25-4=21
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(a+b)^2=a^2+b^2+2ab
a^2+b^2=(a+b)^2-2ab
5^2-2(2)
25-4=21
hope it helps
please mark my answer as brainliest and follow me if it helps
Answered by
1
The value of a² + b² = 21
Given :
a + b = 5 and ab = 2
To find :
The value of a² + b²
Solution :
Step 1 of 2 :
Write down the given data
Here it is given that
a + b = 5 and ab = 2
Step 2 of 2 :
Find the value of a² + b²
(a + b)² = a² + 2ab + b²
⇒ 5² = a² + b² + 2ab
⇒ 25 = a² + b² + 2 × 2
⇒ 25 = a² + b² + 4
⇒ a² + b² = 25 - 4
⇒ a² + b² = 21
The value of a² + b² = 21
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