Question

what is the value of a+b if a-b= 5 and a^2 +b^2= 300​

Answer 1

Step-by-step explanation:

Given that

(a-b)=5

(a²+b²)=300

We Know that

(a-b)²=a²+b²-2ab _________(1)

=>(a-b)²+4ab=a²+b²-2ab+4ab=a²+b²+2ab=(a+b)²

=>(a-b)²+4ab=(a+b)² _________(2)

Eqn-1

=> (a-b)²=a²+b²-2ab

=> 5²=300-2ab

=>25=300-2ab

=>2ab=300-25=275

=>4ab=2×275=550

Eqn-2

=> (a-b)²+4ab=(a+b)²

=>5²+550=(a+b)²

=>(a+b)²=575

=>a+b=√{575} ~ 24

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