Review question

# When does $x^2+(3k-7)x+(2k+6)=0$ have real roots? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6828

## Suggestion

Find for what values of $k$ the equation $x^2+(3k-7)x+(2k+6)=0$ will have real roots in $x$.

The red curve here is $y=x^2+(3k-7)x+(2k+6)=0$.

What tells us how many real roots a quadratic equation has?