Inequalities

Question 1

What is the discriminant?

Answer 1

The formula under the square root in the quadratic equation: b^2-4ac

Question 2

What does the discrimant tell you?

Answer 2

It can tell us how many real roots a quadratic has, depending on what the final value is after working it out.

Question 3

What does it mean if the discriminant works out to be equal to zero (=0).

Answer 3

If it is equal to zero it has 1 real root.

Question 4

What does it mean if the discriminant works out to be less than zero; negative. (0>)

Answer 4

If it is less than zero it has no real roots.

Question 5

What does it mean if the discriminant works out to be more than zero; positive (>0).

Answer 5

If it is more than zero it has 2 real roots.

Question 6

What does it mean if the discriminant works out to be less than or equal to zero (<0 or =0).

Answer 6

If it is less than or equal to zero it has 1 real root.

Question 7

What does it mean if the discriminant works out to be more than or equal to 0 ( >0 or =0).

Answer 7

If it is more than or equal to zero it has 3 real roots.

Question 8

What are the strict inequalities?

Answer 8

’>’ and ‘

Question 9

What are the ‘non-strict’ inequalities?

Answer 9

’> or =’ and ‘< or =’ are the ‘non-strict’ inequalities.

Question 10

What happens if you divide or multiply an inequality by something negative?

Answer 10

When multiplying or dividing an inequality by something negative the inequality changes direction, such as if an equation with ‘>’ int it was divided it would change to ‘