Quadratic Equations

Question 1

What is the standard form of a quadratic equation?

Accepted Answer

ax^2+bx+c=0, where a
e0.

Question 2

What is the quadratic formula for the roots of ax^2+bx+c=0?

Accepted Answer

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}.

Question 3

What is the discriminant of ax^2+bx+c=0?

Accepted Answer

D=b^2-4ac.

Question 4

If D>0, what are the roots like?

Accepted Answer

Two distinct real roots.

Question 5

If D=0, what are the roots like?

Accepted Answer

Two equal real roots (a repeated root), each =-\frac{b}{2a}.

Sample questions