Solving Quadratic Equations By Using The Quadratic Formula Worksheet With Answers Page 29
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419-5 Solving Quadratic Equations by Using the Quadratic Formula
The solutions are 3.4 and –1.4.
49. POSTER Bartolo is making a poster for the dance. He wants to cover three fourths of the area with text.
a. Write an equation for the area of the section with text.
b. Solve the equation by using the Quadratic Formula.
c. What should be the margins of the poster?
SOLUTION:
a. The length of the area covered by text 20 – (x + x) or 20 – 2x. The width of the area is 25 – (4x + 3x) or 25 –
2
7x.
The area of the entire poster is 20 in. × 25 in., or 500 in
. Because Bartolo wants the area with text to be three-
fourths of the total area, it must be
ft. So, an equation for the area of the section with text is (20 − 2x)
(25 − 7x) = 375.
b. Write the equation in standard form.
For this equation, a = 14, b = –190, and c = 125.
The solutions are 12.9 and 0.7.
c. The margins should be about 0.7 in. on the sides, 4 • 0.7 = 2.8 in. on the top, and 3 • 0.7 = 2.1 in. on the bottom.
50. MULTIPLE REPRESENTATIONS In this problem, you will investigate writing a quadratic equation with given
roots.
2
2
If p is a root of 0 = ax
+ bx + c, then (x – p ) is a factor of ax
+ bx + c.
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