Quadratic ApplicationsNumber 16 15) Let y = u and y =d be the solutions to the equation below. What is the value of u ·d ?0 = (2y-1)(8- y)Solve: 0 = (2y-1) and 0= (8- y) then multiply the answers together ENy=816) Let x = a and x = b be the solutions to the equation below. What is the value of – a-b?(2x-3)(x+4) = 0Solve (2x-3) = 0 and (x+4) = 0 then substitute the answers in for a and b in - a-b3and x =217) In the equation below, m is a constant. If the equation has the solutions x =-(2x5)(ケメ円)=e2*+5what is the value of m?Zxザ(2x +5)(-mx +9) = 0- mx+9=6Solve -m+9=0ーn%3D- 3m418=018) In the equation below, a is a constant. If the equation has the solutions x= 4 and x=-4,the value of a ?(x+4)(2x - a) = 0Substitute x = 4 into (2x-a) = 0 and solve for a.19) In the equation below, k is a constant. Which of the following inequalities represents allfor which the equation has two distinct real solutions? (Hint: use the discriminant; if b² – 4ac

Answered: 16) Let x = a and x = b be the…

16) Let x = a and x = b be the solutions to the equation below. What is the value of – a-b? (2x- 3)(x+4) = 0 Solve (2x-3) = 0 and (x+4) = 0 then substitute the answers in for a and b in -a-b

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.8: Solving Basic Equations

Problem 1E

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Question

Quadratic Applications Number 16

15) Let y = u and y =d be the solutions to the equation below. What is the value of u ·d ?
0 = (2y-1)(8- y)
Solve: 0 = (2y-1) and 0= (8- y) then multiply the answers together EN
y=8
16) Let x = a and x = b be the solutions to the equation below. What is the value of – a-b?
(2x-3)(x+4) = 0
Solve (2x-3) = 0 and (x+4) = 0 then substitute the answers in for a and b in - a-b
3
and x =
2
17) In the equation below, m is a constant. If the equation has the solutions x =-
(2x5)(ケメ円)=e
2*+5
what is the value of m?
Zxザ
(2x +5)(-mx +9) = 0
- mx+9=6
Solve -m
+9=0
ーn
%3D
- 3m418=0
18) In the equation below, a is a constant. If the equation has the solutions x= 4 and x=-4,
the value of a ?
(x+4)(2x - a) = 0
Substitute x = 4 into (2x-a) = 0 and solve for a.
19) In the equation below, k is a constant. Which of the following inequalities represents all
for which the equation has two distinct real solutions? (Hint: use the discriminant; if b² – 4ac

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