Ma 15200 Lesson 14 Section 1.5 Part 1 - Quadratic Equations Worksheet - Purdue University Page 2
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6Note: If a quadratic equation can be solved by factoring, the solution(s) is(are)
rational numbers. If the equation cannot be solved by factoring, the solutions are
conjugate irrational numbers or conjugate complex numbers.
II
Solving by the Square Root Property
Square Root Property:
, where u is a variable or an
2
If the quadratic equation can be written in the form
u
d
expression with a variable and d is nonzero real number, then the solutions can be found
using the equations
u
d
and
u
d
.
Ex 2: Use the square root property to solve each equation.
2
a
)
(
r
) 1
25
2
b
)
(2
y
5)
49 0
2
c
)
9
x
6
x
1 100
2
d
)
8
x
50 0
2
e
)
(
n
2)
81
2
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