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All numbers refer to exercises (and not "computer exercises") in Gallian. §22: 8, 16, 22, 24, 28, 36.
In addition:
Problem 1: Let a be a complex root of the polynomial x6 + x3 + 1. Find all homeomorphisms σ: Q(a) → C over Q. (HINT: the polynomial is a factor of x9-1.)
Problem 2: We say that a ?eld extension E/F is quadratic if [E: F] = 2. Prove that every quadratic extension of F is normal.
Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A
Homework help???
By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9. Answer: Let make four groups of two numbers from 1 to 8 like
4 boys and 4 girls are to seated in arow i)no. of girls sit together ii)not all girls sit together iii)boys and girls are altenate to each other iv)if a particular boy and g
Explain Concordant Form
lbl 2 lcl 2 sin 2 θ
6x^7-2x^3+4x-16 / 3x^2-7x+9
Three shirts and five ties cost $23. Five shirts and one tie cost $20. What is the price of one shirt? Let x = the cost of one shirt. Let y = the cost of one tie. The ?rst part
Mount Everest is 29,028 ft high. Mount Kilimanjaro is 19,340 ft high. How much taller is Mount Everest? Subtract Mt. Kilimanjaro's height from Mt. Everest's height; 29,028 - 19
How to find y(t) from y''+2y=2-e^-4t?
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