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
Step-by-step explanation:
step 1. what is the question? maybe the question is what is the value of x in the diagram. okay.
step 2. interior angles of a triangle add up to 180°
step 3. the 3 angles inside the triangle are 10x + 8, 13 + 5x, and (180 - 126)
step 4. (10x + 8) + (13 + 5x) + 54 = 180
step 5. 15x + 21 = 126
step 6. 15x = 105
step 7. x = 7.
That both (along with the mean) help the data be described the data's spread, which can be the slope if only two points.
