Question

If a-b=3 and a2+b2=29 find the value of at​

Answer 1

a-b = 3

a= b+3

then

(b+3)2 + b2= 29

b2 +9+6b +b2 =29

2b2 +6b+9-29=0

2b2+6b-20=0

b2+3b-10=0

b2+5b-2b -10 =0

b(b+5)-2(b+5)=0

(b+5)(b-2)=0

b= 2, -5

answer