Finding Imaginary Roots for X2 –3X +C

[muskan]

please see my question i can't dfind its imaginary roots .the equ is


X2 –3X +C,here 2 is the power of X and Cis constant we have to show that there exixts no reak number C for which the givev equation has two
distinct rootss in [-1,1]
i solve this by quadic formula but i got its real roots :zzz::zzz:

 

[Vagrant]

How can you solve this by quadratic formula? There is no value of c given.
You can use the conditions in terms of c that would allow the equation to have real and distinct roots, and thereby show that there exists no such real c.

 

[HallsofIvy]

Using the quadratic formula, your answer should have c as well as other numbers inside a square root. The roots will be complex as long as the number inside the square root are negative.