Quadratic Formula
1. Use the quadratic formula to solve quadratic
equations.
For equations in the form ax2 + bx + c = 0 , the quadratic formula is:
(Memorize)


*Be careful when c is
negative , −4(5)(−2) = +40


( simplify
)

(You must be able to
divide both pieces on the top to reduce the fraction.)


(simplify
)


(simplify:
)


(simplify:
)


Since there is no radical left , you must write two equations and solve.

2. Solve using your choice of methods.
(a) If there is x2 , but not x1 term , use the square root method. OR if there
is
( )2
*Remember to always put ± . Never take the square root of ax 2 , but
must divide by a first .
(b) Factor if possible .
(c) Use the formula .

*Remember to never
.Divide by 2 first.



Since there is no radical left, you must write two equations and solve.

Remember to factor any
denominators first .

You must list restrictions anytime there is a letter in the denominators.
Restrictions:

Multiply each term by the common denominator ( x − 3)( x − 4) .

Assignment: 1.5 page 144, 65 – 73 odd, 83 – 107 odd
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