60-x 1 (60 – x)r P(x) = X 3. Step 4 Rewrite P(x) by completing the square. (x - - 30 P(x) = = -1/3 -900

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter6: Factoring
Section6.5: Polynomial Equations
Problem 6.103TI: The product of two consecutive odd integers is 255. Find the integers.
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Rewrite p(x) by completing the square. -900 is wring as shown in the picture.
The sum of the first and three times the second is 60.
Step 1
Let x be the first number and y be the second number. Write an equation describing the sum in this problem.
x +
3 y =
60
Step 2
Solve your equation in the previous step for y.
(60-x)
60 - x
y =
3
Step 3
The product P of the two numbers is xy. Use your result from the previous step to write the product as a
function of x only.
60-X
P(x) = x
(60-x)x
Step 4
Rewrite P(x) by completing the square.
P(x) = -1/3
- 30
-900
Submit
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13
Transcribed Image Text:The sum of the first and three times the second is 60. Step 1 Let x be the first number and y be the second number. Write an equation describing the sum in this problem. x + 3 y = 60 Step 2 Solve your equation in the previous step for y. (60-x) 60 - x y = 3 Step 3 The product P of the two numbers is xy. Use your result from the previous step to write the product as a function of x only. 60-X P(x) = x (60-x)x Step 4 Rewrite P(x) by completing the square. P(x) = -1/3 - 30 -900 Submit Skip (you cannot come back) 13
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