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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