Question

O. If a+b = 20 and ab = 75, find the value of a ^2+b^2​

Answer 1

Answer:

(a+b)^2= a^2+b^2+2ab

(a+b)^2-2ab=a^2+b^2

400-150=250

Answer 2

Question

If a+b = 20 and ab = 75, find the value of a²+b².

Answer

Given:-

→a+b = 20

→ab = 75

To find:-

Value of a²+b²

Solution:-

So,

=> a²+b²

=> [a²+b²+2ab]-2ab ( since, 2ab - 2ab = 0)

=> (a+b)²-2ab (we know, (a+b)²=a²+b²+2ab)

=> (20)²-2(75)

=> 400 - 150

=> 250

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Therefore,

$\huge\rm{\boxed{ a²+b² = 250 }}$

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→Concept used = Basic algebric formulas

→Marks = 1 (or) 3 marks

Written by:- Sayandeep Ghosh

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