april 29, 2015

Today

The Discriminant

The discriminant is the part of the quadratic formula inside the radicand

The discriminant tells you the number of solutions and should be computed first If the discriminant is

= 0 1 solutiongt 0 2 solutionslt 0 no solutions

y = 4x2 ndash 17x ndash 15

How many times does the graph cross the x axis

Rationalizing the Denominator

Which means

We will start with a simple case of a radical in the denominator This must be removed Why


By rationalizing the denominator (Changing the denominator from a radical number to a rational one)

Itrsquos just a generally agreed upon thing in math thatrsquos all

Simplify Finally

How is it done

Thats right Of course we must do the same to both amp bottom

10 2

This is done by removing the square root from the denominator How can we make the denominator 2


Always factor out perfect squares

4 10

Quadratic Exam Review

You can solve equations using the method of your choice on the testHowever the easiest (or only ) method will often be the quadratic formula


Look carefully at the equation then determine the best (easiest) method of solving Or

Possible solution methods

Possible solution methods4x2 = 24 - 4xndash5 plusmn 21

2 plusmn 13

Solve by factoring


Write the quadratic equation when given the solution

Start with a and b

And then c

The equation is 8x2 + 3x - 9 = 0

Complete Class Work 44

120785

120790

w = 5 l = 15

Quadratic Applications(2)

The Discriminant

The discriminant is the part of the quadratic formula inside the radicand

The discriminant tells you the number of solutions and should be computed first If the discriminant is

= 0 1 solutiongt 0 2 solutionslt 0 no solutions

y = 4x2 ndash 17x ndash 15

How many times does the graph cross the x axis


Which means





Simplify Finally

How is it done


10 2




4 10







2 plusmn 13

Solve by factoring



Start with a and b

And then c



120785

120790

w = 5 l = 15



Which means





Simplify Finally

How is it done


10 2




4 10







2 plusmn 13

Solve by factoring



Start with a and b

And then c



120785

120790

w = 5 l = 15






Simplify Finally

How is it done


10 2




4 10







2 plusmn 13

Solve by factoring



Start with a and b

And then c



120785

120790

w = 5 l = 15




4 10







2 plusmn 13

Solve by factoring



Start with a and b

And then c



120785

120790

w = 5 l = 15








2 plusmn 13

Solve by factoring



Start with a and b

And then c



120785

120790

w = 5 l = 15




Start with a and b

And then c



120785

120790

w = 5 l = 15



120785

120790

w = 5 l = 15


w = 5 l = 15


april 29, 2015

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