Answer:
A. 29i
Step-by-step explanation:
Step 1: Plug in given variables
(2 - 5i)(2 + 5i)i
Step 2: Difference of squares (expand)
(4 - 25i²)i
Step 3: Imaginary numbers rules
(4 - 25(-1))i
Step 4: Combine like terms
(4 + 25)i
(29)i
Your final answer will be 29i
1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18
Answer: " b = 3 ⅕ ; or, write as: 3.2 .
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Given: "A = (1/2) * b * h " ;
↔ A = (b * h) / 2
2A = (b*h) ;
2A/ h = b ;
↔ b = (2A) / h ;
Given A = 48 ; and h = 30 ; Plug in these values; and solve for "b" ;
→ b = (2*48) / 30 ;
= 96/30 ;
= (96÷6) / (30÷6) ;
→ b = 16/5 ; = 3 <span>⅕ ; or, write as: 3.2 .
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