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:
=4x-2
Step-by-step explanation:
f=x, h=4x-2, f(x) *h(x): 4x-2
Answer:
{2, 3, 4, 5}
Step-by-step explanation:
3x + 1 > 4
3x > 3
x > 1.
If x = 1 the inequality is not true,
- but 2 3 4 and 5 will make the inequality true.
Pressure and Volume are inversely related as:
We can also write it as:
R is the constant of proportionality. Using the first row of given table, we can write:
Thus, the value of R, the universal gas constant is 8.31
