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:
First - y=-2x+3
Second - y=-7+3
Step-by-step explanation:
y = x² + 6x + 3
y = x² + 6x + 9 - 6
y = (x + 3)² - 6
since the coefficient of x² is positive, then min at (-3,-6). the answer is C.
Answer:
(a) $60
(b) $180
Step-by-step explanation:
Let the price of 1 table lamp be t.
Then the price of a fan is 3t.
2(3t) + 3t = 540
6t + 3t = 540
9t = 540
t = 60
A table lamp costs $60.
3($60) = $180
A fan costs $180.
Answer:
i think its 18(DONT TRUST ME)
Step-by-step explanatioN:
6 x 3
