The equations in Exercises 9-16 have complex characteristic roots. Find the general solution in each case. y" +2y + 17y = 0

Q: 4. Find all solutions in the complex numbers to the following equations. (a) z5 = z. (b) 24 = iz².

A:

Q: (b) The quadratic equation x² + px + q = 0 in which the coefficients p and q are real, has a complex…

A: Sol

Q: 12. Consider the quadratic equation az?+bz+c= 0, where a, b and c are real and b2 – 4ac < 0. Suppose…

A: Formula: Quadratic Formula For a quadratic equation ax2+bx+c=0 with a≠0, the roots are given by…

Q: Write a 3rd degree equation with roots of -5 and (3+4i). "i" should not be in your answer.

A: complex roots occurs in pair. Therefore, if 3+4i is a root, then 3-4i is also a root. Factor form:…

Q: 23 22 - - (4 + 6i) z² − (5 - 10i)z = 0.

A:

Q: One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of…

A: The quadratic equation, y=ax2+bx+c can be expressed in the vertex form as y=a(x-h)2+k, where, the…

Q: Are there any complex solutions to the equation 2x² - 19x x2 – 5x = x - 3? If so, what are they?

A: see below the solution

Q: 1. What are the roots of the equation (x + 1)(4x – 3) = 0? C) x= 1, - D) x= 1 A) x = -1,3 B) x= -1,

A: (x+1)(4x-3)=0⇒(x+1)=0 or (4x-3)=0⇒x=-1 or 4x=3⇒x=-1 or x=34⇒x=-1 ,34

Q: Day traders typically buy and sell stocks (or other investment instruments) during the trading day…

A: Let us start solving the problem step by step  A)We need to find possible collections  B)no of…

Q: OShow that every cubic equation of the form x³ + bx2 + c = 0 where b and c are real numbers has at…

A: Given: x3+bx2+c=0, where b and c are real numbers. The objective is to show that every cubic…