Answer:
false statement
Step-by-step explanation:
5+x^2=2x^2+13
5+x^2-2x-13=0
-8+x^2-2x^2=0
-8-x^2=0
-x^2=8
x^2=-8
this statement is false for any value of x because the power function with an even exponent is always postive or 0
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Answer 1: 2/5= 6/15 3/15-6/15= -3/15
Answer 2: 7/10= 14/20
1/4= 5/20
difference- 9/20
Answer 3:
2 5/6= 17/6
3 2/5= 17/5
17/6 = 85/30
17/5= 102/30
187/30
Answer 4:
11/2
9/7
77/14
81/14
-4/14
Answer 5:
23/4
35/12
69/12+35/12= 104/12= 26/3
