Algebra Answers

The number of baseball games Bernie won this year was 25%less than the number of games he won last year. If Bernie won 24 games last year, how many games did he won this year?

A machine grids 2/7 pounds of spices in 1/3 second. What is the machine's rate of grinding spices in pounds per second?

The Business Club's thrice yearly car wash serviced 398 cars this year. A total of 84 more cars participated in May than in November. A total of 43 fewer cars were washed in July than in November. How many cars were washed during each month?

how to identify bound above or bound below set ?

4+4

What is the square root of [2x + i {(x)^2 - 1}].please solve briefly .like
let √ ̅ [2x + i {(x)^2 - 1}] = a+ib

⇔ [2x + i {(x)^2 - 1}] = a^2 - b^2 +2iab

therefore 2x= a^2 - b^2

x^2 - 1 = 2ab

what will be next??? and i don t know (x^2 - 1)/2 either greater than 0 or less than 0 . if greater than 0 , then sign of a and b will be same , and if less than 0 , sign of a and b will be opposite . i m in a dilemma . therefore 4 answers will be possible??

i have found answers of the problem in two books different
in 1st book answer is ±(1/√2)[(x+1)+i(x-1)]
in 2nd book answer is ±(1/√2)[(x+1)+i(1-x)] which one is correct or both correct ?? then explain the reason

we know √9 = ±3 but why √-1 ≠ ± i . it's only i why?

(a^2 +b^2)(c^2 + d^2)(e^2 + f^2) express this as the sum of two squares?

a positive integer 'n' when divided by 9, gives 7 as remainder what will be the remainder when (3n - 1) is divided by 9?

Solve the following formula for n: A = P(1 + nr).