AM-1070

Discriminant and nature of roots

A Math · Secondary 4 · Hard · Discriminant and nature of roots

For the quadratic equation

x^2 - (k+1)x + 4 = 0

, where

k

is real, which statement about its roots is true?

It has real roots only when $(k+1)^2 \ge 16$ .
It has real roots for all real values of $k$ .
It never has real roots for any real $k$ .
It has real roots only when $(k+1)^2 \le 16$ .

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