Question

if a+b=1 and a-b=7 find:a²+b²​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Given, (a+b)=7, ab=10

Squaring both sides

⇒(a+b) 2=7 2

⇒a 2+b 2 +2ab=49

⇒a 2 +b 2=49−2(10

⇒a 2 +b 2

=29

Now,

(a−b) 2 =a 2 +b 2 −2ab

=29−2(10)

=29−20

=9

∴a−b= 9

=±3