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
The coordinate of B is (4,1)
Hey there!
No numbers go into a prime number other than one and that number. 9 and 7 go into 63, so it’s not 63. 3 and 17 go into 51, so it’s not 51. 19 and 3 go into 57, so it’s not 57. That leaves 61. Nothing goes into this other than one and 61, so the answer is 61.
I hope this helps!
There are four properties of multiplication namely commutative, associative, multiplicative identity and distributive. The equation given defines the commutative property of multiplication where two numbers are multiplied, the product will still be the same no matter what is the order of the multiplicands.
Answer:
144 meals for customers and 12 meals for employees.
Step-by-step explanation:
156/24=6.5
6 x 24 =144
156-144=12
It adds up to be simple numbers, if it didn't it would make sense. For example, she wouldn't serve 6 and a <u>half</u> people. She would serve either 6 people or 7 people. She wouldn't serve 11.3973043 meals. She would serve either 11 meals or 12 meals.
