Quadratics

Question 1

To solve a quadratic, what form must it be in?

Answer 1

ax^2 + bx + c = 0

Question 2

What are the different ways to solve a quadratic equation?

Answer 2

1. Solve by factorising
2. Solve by completing the square
3. Solve by using the formula

Question 3

What is the quadratic formula?

Answer 3

(-b+-,/’b^2-4ac’)/2a

Question 4

What is the discriminant?

Answer 4

b^2-4ac

Question 5

If b^2-4ac > 0 , the quadratic has ___ real roots.

Answer 5

2

Question 6

If b^2-4ac = 0, the quadratic has ___ real roots.

Answer 6

1

Question 7

If b^2-4ac

Answer 7

0

Question 8

The equation 2x^2-3x+(k+1)=0, where k is a constant, has no real roots. Find the set of possible values of k.

Answer 8

b^2-4ac1

k>1/8