SOLUTION: Which of the following equation has greatest and smallest number of real solutions?
(a) x^3 + x - 10 = 0
(b) x^2 + 4x - 15 = 0
(c) e^x - x = 0
(d) sec(x) - e^(-x^2)
Note: Her
Algebra.Com
Question 1181072: Which of the following equation has greatest and smallest number of real solutions?
(a) x^3 + x - 10 = 0
(b) x^2 + 4x - 15 = 0
(c) e^x - x = 0
(d) sec(x) - e^(-x^2)
Note: Here ^ means power.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Which of the following equation has greatest and smallest number of real solutions?
(a) ...factor
one real solution is:
find two more solutions for
use discriminant , if there will be real solutions
in your case , ,
-> , so other two solutions are complex solutions
(b)
use discriminant , if there will be real solutions
in your case , ,
->true, so there are real solutions
(c)
....take natural log of both sides
-> solution for in
(d)
set equal to zero
only if -> one real solution
answer:
the equation b) has greatest number of real solutions
the equation c) has smallest number of real solutions
RELATED QUESTIONS
If x = -1 and k > 0, which of the following has the greatest value?
A. 2kx
B. 4kx^2... (answered by makala)
I couldn't work letter C and #2, please assist.
Please check the rest of the work and... (answered by yuendatlo,solver91311)
1. Which of the following is closest to one of the solutions of the equation x^2 + 6x -... (answered by solver91311)
if x = -1 and k > 0, which of the following has the greatest value ?
a 2 kx b... (answered by stanbon)
Can you help me solve this question?
Determine the number of solutions and classify the... (answered by Alan3354)
Can someone help me solve this question?
Determine the number of solutions and... (answered by feliz1965)
0 < x < 10, and x ≠ 1.Which of the following must be true?
A) x^2 > x B) x^2 >... (answered by susanaramya)
I've missed a lot of school because I've been sick and I'm trying to get all of my work... (answered by jsmallt9)
Which one of the following is true:
a) 1/2 < 1/3 b) 12/25 < 11/21 c) 7/12 > (answered by rfer)