Step-by-step explanation:
second one because
only x+2y=8 passes through the point (2,3)
the proof is 2+2*3=2+6=8
if we replace the given point to the other equations we will take wrong results for example
first equation
x+2y=4. 2+2*3=2+6=8 that is not equal to 4
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 correct answer is C. If you reduce the fraction 36/18, it reduces to 2/1 or simply, 2. So, both fractions equal 2.
Factor the following:
3 n^4 + 21 n^3 + 27 n^2
Factor 3 n^2 out of 3 n^4 + 21 n^3 + 27 n^2:
Answer: 3 n^2 (n^2 + 7 n + 9)
Answer:
D. 54
Step-by-step explanation:
Right angle = 90°
3/5 of 90°
3/5 × 90°
270 ÷ 5 = 54°
