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Transcript
Chapter 6 – Polynomial Equations
Section 6.4: The Quadratic Formula
Practice Problems
Quadratic Formula:
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8. Solve each quadratic equation by using the Quadratic Formula.
•! Place your given quadratic equation in standard form.
•! Identify the coefficients a, b, c.
•! Substitute these values into the quadratic formula.
•! Simplify all answers.
•! If the answers are irrational, also give approximate answers, rounded to 2 decimal
places.
a)
Solve 2x2 – 2x – 4 = 0
(This one is fill in the blanks)
a = _____, b = ______, c = ______
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(?!!!!!<
#$
?!!!!< { ?!!!!!!< % ?!!!!!<
?!!!!!<
#$
?!!!!< { ?!!!!!!<
?!!!!!<
#3 $
!!!! J ?!!!!!!<
#3 $
!!!! J?!!!!<
#3 $
?!!!!!<
?!!!!!<
?!!!!!<
?!!!!!<
and #1 $
and #1 $
and #1 $
!!!! P ?!!!!!!<
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!!!! P?!!!!<
?!!!!!<
?!!!!!<
?!!!!!<
#3 $ ( and #1 $ %)
Final solution x = –1, 2 (Be sure to check the answer.)
222
Chapter 6 – Polynomial Equations
b) 2x2 – 5x = 4
Practice Problems
c) 4x2 – 2x = 6
d) 6x2 – 4x = 1
e) –2x2 = 3x – 12
223
