Difderence of two positive numbers is 2 and their product is 528 find the numbers - Maths - Second Degree Equations

Question

Difderence of two positive numbers is 2 and their product is 528
find the numbers

Shruti Tyagi · Accepted Answer

Dear student,
Let the first number be 'x'then another number=x+2A
T
QProduct of two number=528⇒x×x+2=528⇒x2+2x-528=0⇒x2+24x-22x-528=0⇒xx+24-22x+24=0⇒x+24x-22=0⇒x=-24 or x=22[since the number is +ve so neglecting -ve value  x=-24]When x=22then  another number x+2=22+2=24
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Difderence of two positive numbers is 2 and their product is 528..find the numbers