Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 19
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Quadratic Equations in One Unknown
The figure shows the graph of y = x
− 3x − 4.
2
1.
y
(a) How many real roots does the equation
− 3 x − 4
2
y = x
− 3x − 4 = 0 have?
2
x
− 3x − 4 = 0 graphically.
2
(b) Solve the equation x
x
−1
0
4
Solution
(a) The graph of y = x
− 3x − 4 has (
2
two
) x-intercepts.
−
−
=
2
Therefore, the quadratic equation x
3
x
4
0
has (
) real roots.
two
(b) The x-intercepts of y = x
− 3x − 4 are (
2
−1
) and (
4
).
−1
4
Therefore, the roots of the equation are (
) and (
).
The figure shows the graph of y = x
− 7x + 10.
2
y
2.
(a) How many real roots does the equation
− 7 x + 10
2
y = x
− 7x + 10 = 0 have?
2
x
− 7x + 10 = 0 graphically.
2
(b) Solve the equation x
Solution
x
0
2
5
The graph of y = x
− 7 x + 10 has two x -intercepts.
2
(a)
− 7 x + 10 = 0
2
Therefore, the quadratic equation x
has two real roots.
The x -intercepts of y = x
− 7 x + 10 are 2 and 5.
2
(b)
− 7 x + 10 = 0 are 2 and 5.
2
Therefore, the roots of the equation x
19
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