Question

The difference of square of two no is 45 . the square of smaller no is 4 times the larger no fid the no

Answer 1

a^2-b^2=45

a^2-4a=45

a^2-4a-45=0

a^2-9a+5a-45=0

a(a-9)+5(a-9)=0

(a+5)(a-9)=0

a=-5 or a=9

So,

the two no.s are-

a=-5,

b=sqrt(4a)=sqrt(4*-5)=4.47(approx.)

Or

a=9,

b=sqrt(4a)=sqrt(4*9)=6