Question

Ifx²+y²=25, xy= 12, then x =​

Answer 1

Answer:

4

Step-by-step explanation:

x2+y2=25,xy=12

Substitute y=x12, we get

⇒x2+[x12]2=25⇒x4+144−25x2=0

⇒(x2−16)(x2−9)⇒x2=16 and x2=9

⇒x=±4 and x=±3

∴ Total number of values of x is 4.