Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 26
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Quadratic Equations in One Unknown
Name :
1F
Date :
Mark :
1.6
Problems Leading to Quadratic Equations
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Key Concepts and Formulae
Guidelines in solving problems leading to quadratic equations:
1.
Read the problem carefully and use a letter to represent the unknown.
2.
Form a quadratic equation based on the conditions given in the problem.
3.
Solve the equation using an appropriate method.
4.
Check whether the solutions are reasonable.
1.
The square of the difference between a number and 2 is equal to the number itself. Find the
this number.
Solution
Let x be the number.
x − 2
= x
2
(
)
−
+
=
2
x
4
x
4
x
−
+
=
2
x
5
x
4
0
−
−
=
(
x
1
)(
x
4
)
0
−
=
−
=
x
1
0
or x
4
0
=
=
x
1
or
x
4
∴
The number is (
) or (
).
1
4
26
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