Each of these roots can be expressed as a binomial:
(x+1)=0, which solves to -1
(x-3)=0, which solves to 3
(x-3i)=0 which solves to 3i
(x+3i)=0, which solves to -3i
There are four roots, so our final equation will have x^4 as the least degree
Multiply them together. I'll multiply the i binomials first:
(x-3i)(x+3i) = x²+3ix-3ix-9i²
x²-9i²
x²+9 [since i²=-1]
Now I'll multiply the first two binomials together:
(x+1)(x-3) = x²-3x+x-3
x²-2x-3
Lastly, we'll multiply the two derived terms together:
(x²+9)(x²-2x-3) [from the binomial, I'll distribute the first term, then the second term, and I'll stack them so we can simply add like terms together]
x^4 -2x³-3x²
<u> +9x²-18x-27</u>
x^4-2x³+6x²-18x-27
Hey there Ninaedingeroveuh7,
Area = Length x Width
70 square feet = 14 ft x w
W = 70 / 14
= 5 ft
Hope this helps :))
~Top
Answer:
Length of each leg = 130 cm.
Step-by-step explanation:
Given that there is an isosceles triangle which has perimeter 345 cm.
Base length =85 cm.
Since other two sides are equal, let the equal size = x
Perimeter = sum of all 3 sides of a triangle
= 85+x+x = 85+2x
But perimeter = 345 (given)
So equate x term perimeter with actual
85+2x = 345
Subtract 85
2x = 260
Divide by 2
x =130 cm.
Hence answer is 130 cm.
Answer:
N$ 612.5
Step by step explaination:
Given,
Principal or'P'=N$2500
Time or'n'=3 years & 6 months or 3.5 years
Rate of profit or 'r'=7% or 7/100
Profit or 'I'=?
_____________________________________
We know,
I=P*n*r
I=2500*3.5*7/100
I=612.5
So,simple interest is N$ 612.5.
