Ma 15200 Lesson 14 Section 1.5 Part 1 - Quadratic Equations Worksheet - Purdue University Page 5

ADVERTISEMENT

IV
Solving by the Quadratic Formula
The Quadratic Formula is a formula that many of you will recognize. It can be used to
solve any quadratic equation. How the formula is derived is found on page 143 of the
text. (It is not important that you understand this derivation.)
Quadratic Formula
  , then the solution(s) can be
2
If a quadratic equation is in general form,
ax
bx c
0
 
2
b
b
4
ac
. It is read, ‘x equals the opposite of b plus or
found by the formula
x
2
a
2
minus the square root of
b
4
ac
all over twice a.’
Note: The quadratic formula was derived by using the completing the square process.
Ex 5: Solve by using the quadratic formula.
 
2
a
)
2
x
x
15 0
 
2
b
)
5
x
3
x
1
2
c
)
7
x
2(
x
1)
2
d
)
x
15 0
5

ADVERTISEMENT

00 votes

Related Articles

Related forms

Related Categories

Parent category: Education
Go
Page of 6