X² + 1 = 0
=> (x+1)² - 2x = 0
=> x+1 = √(2x)
or x - √(2x) + 1 = 0
Now take y=√x
So, the equation changes to
y² - y√2 + 1 = 0
By quadratic formula, we get:-
y = [√2 ± √(2–4)]/2
or √x = (√2 ± i√2)/2 or (1 ± i)/√2 [by cancelling the √2 in numerator and denominator and ‘i' is a imaginary number with value √(-1)]
or x = [(1 ± i)²]/2
So roots are [(1+i)²]/2 and [(1 - i)²]/2
Thus we got two roots but in complex plane. If you put this values in the formula for formation of quadratic equation, that is x²+(a+b)x - ab where a and b are roots of the equation, you will get the equation
x² + 1 = 0 back again
So it’s x=1 or x=-1
Answer:
(5,30)
Step-by-step explanation:
That is the constant change in the y's as the x's increase by 1?
12 - 6 = 6
18 - 12 = 6
24 - 18 = 6
The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.
(5,30)
Answer:
B
Step-by-step explanation:
I am not that sure but I tried... :)
Answer:
3 1/8 or 3.125.
Step-by-step explanation:
First you would change 1 1/4 to 5/4. Then you would make a proportion of 5/4 or I like to use decimals, 1.25, over 8. Your proportion would look like: 1.25/8 = x/20. Then cross multiply 1.25 and 20 then divide your product by 8. Your final answer is 3.125 or 3 1/8. Hope this helps!
Answer:
See explanation
Step-by-step explanation:
Since 12 is 3 times greater than 4, you simply need to divide all of the ingredients by 3.
Cactus chunks: 4 1/2 divided by 3 is 3/2 or 1 1/2
Crushed Tumbleweed: 8/3 is just 8/3 or 2 2/3
Cactus Juice: 10/4 or 2 1/2
Lizard eggs: 4
Crumbled Flower Petals: 7/4 or 1 3/4
Water: 10/3 or 3 1/3
Hope this helps!
