Answer:
55.56
Step-by-step explanation:
If its 5 or mor add one more if its four or less let it rest
First combine like terms
3x - 7 - 2x + 5 = 6
x - 2 = 6
Get x by itself by adding 2 on both sides
x - 2 = 6
x = 8
Your answer is x = 8
Answer:
The answer for this is 7.059
Step-by-step explanation:
Answer:
- (x + 3)(x - 3)(x² - 2x + 5)
Step-by-step explanation:
<u>One of the zeros given:</u>
<u>Since it is a complex number, its conjugate is also a zero:</u>
<u>The product of two factors are:</u>
- (x - (1 + 2i))(x - (1 - 2i)) =
- x² - x(1 + 2i + 1 - 2i) + (1 - 4i²) =
- x² - 2x + 5
<u>We need two more zeros. Let them be m and n, then we have:</u>
- (x - m)(x - n) = x² - (m +n)x + mn
<u>The product of all factors:</u>
- (x² - 2x + 5)(x² - (m+n)x + mn) = x⁴ - 2x³ - 4x² + 18x - 45
- x⁴- (m+n+2)x³ + (mn+5)x² - (2mn+5m+5n)x + 5mn = x⁴- 2x³- 4x²+ 18x- 45
<u>Compare left and right sides and solve for m and n:</u>
- m + n + 2 = 2 ⇒ m + n = 0
- mn + 5 = -4 ⇒ mn = -9
- 2mn + 5(m + n) = -18 ⇒ mn = -9
<u>From the above equations we get:</u>
- m = -n
- -n² = -9
- n = 3
- m = -3
The other zero's are 3 and -3
<u>All of the factors:</u>
- (x + 3)(x - 3)(x² - 2x + 5)
