4.3,4.4,4.5,4.7,4.8 Flashcards

1
Q

Rationalizing denominator, what do you multiply if it’s a + or - sqaure root of B

A

Do opposite, so if a - then multiply by a +

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2
Q

Solving quadratic equations by extracting the root 2x^2-15=65

A
2x^2-15=65
\+15
2x^2=80
Divide by 2
Square root both
Fund both pos and neg
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3
Q

Find discriminate

A

B^2-4ac

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4
Q

Making a perfect square

A

(B/2)^2 =c
Binomial perfect square
(X+ b/2)^2

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5
Q

Write a quadratic in vertex form

A

Complete the square and then put it all together
Max a<1
Min a>1
Max and min are y value

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6
Q

Difference of two squares factoring

A

(X+Y)(X-Y)= X^2-Y^2

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7
Q

Solve by completing the square

A
Divide entire by a 
Move constant to other side 
(B/2)^2 gives you c and constant plus 
Then b/2 is (x+b/2)^2= constant plus
Then solve
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8
Q

Discriminant>0
=0
<0

A

Two real solutions
One solution
No solution

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