Given that the equation below has equal roots, find the value of k:
kx² - 4x + k - 3 = 0
I've never seen this before. how would it be done?
Hello,
Do you know about the discriminant $\displaystyle \Delta$ ?
If $\displaystyle \Delta>0$, then there are 2 distinct real roots.
If $\displaystyle \color{red} \Delta=0$, then there are 2 equal real roots (and the polynomial is proportional to a perfect square)
If $\displaystyle \Delta <0$, then there is no real root.
In a polynomial ax²+bx+c, the discriminant $\displaystyle \Delta=b^2-4ac$