Question

quadratic equation.....
if a≠b and a²=5a -3, b²=5b-3,then that equation whose roots are...

Answer 1

\[\frac{ a }{ b } and \frac{ b }{ a }\]

Answer 2

hint. a,b are the roots of the equation x²=5x-3

Answer 3

yes, that is for sure
so you know what they are

Answer 4

on is \(\frac{5+\sqrt{3}}{2}\) and the other is its conjugate

Answer 5

therefore
\[\frac{a}{b}=\frac{5+\sqrt{3}}{5-\sqrt{3}}\]

Answer 6

or its reciprocal, either way
so you can find the equation by knowing the roots, although somehow i get the feeling there is a slicker way to do this

Answer 7

how u get \[\frac{ 5+\sqrt{3} }{2 }\] ??

Answer 8

i got u & also done it

Answer 9

thanks @satellite73