Chap. 8 - Quadratics

Question 1

if an equation can’t be factorised, used either

Answer 1

-completing the square
-the quadratic formula

Question 2

how do you complete the square?

Answer 2

1. take the 2ab of the equation, half it and then square it
2. add the new number to both sides of the equation
3. make an a^2 +/- b^2 out of the x^2 and the new number
4. solve the equation

Question 3

the quadratic formula is:

Answer 3

(-b±√(b²-4ac))/(2a)

Question 4

what is the discriminant?

Answer 4

b^2 - 4ac of the quadratic formula

Question 5

if the discriminant > 0…

Answer 5

there are 2 solutions

Question 6

if the discriminant < 0

Answer 6

there is no solution

Question 7

if the discriminant = 0

Answer 7

there is one solution

Question 8

if the discriminant is a perfect square…

Answer 8

then the equation could’ve been factorised and YOU DUN GOOFED!

Question 9

for hidden quadratics, the first step is to

Answer 9

make x^2 equal a new pro numeral

Question 10

for hidden quadratics, the last step is to,

Answer 10

plug the answer of the new pro numeral back into the original pronumeral