X*a = 244 is equation (1)
x+a = 2 is equation (2)
Solve equation (2) for 'a' to get
x+a = 2
a = 2-x
Call this equation (3)
We will plug equation (3) into equation (1)
x*a = 244
x*(a) = 244
x*(2-x) = 244
Notice how the 'a' is replaced with an expression in terms of x
Let's solve for x
x*(2-x) = 244
2x-x^2 = 244
x^2-2x+244 = 0
If we use the discriminant formula, d = b^2 - 4ac, then we find that...
d = b^2 - 4ac
d = (-2)^2 - 4*1*244
d = -972
indicating that there are no real number solutions to the equation x^2-2x+244 = 0
So this means that 'x' and 'a' in those two original equations are non real numbers. If you haven't learned about complex numbers yet, then the answer is simply "no solution". At this point you would stop here.
If you have learned about complex numbers, then the solution set is approximately
{x = 1 + 15.588i, a = 1 - 15.588i}
which can be found through the quadratic formula
Note: it's possible that there's a typo somewhere in the problem that your teacher gave you.
None of them have a solution of x, but 5x=15, 7x-2=19, and 5x+6=21 all have the same answer of x=3
Answer:
<h2>49.49%</h2>
Step-by-step explanation:
volume of liquid in the flask= 200 cm^3
radius of the flask = 3 cm
height of the flask= 12 cm
volume of flask is given by =
putting values and solving we get =396 cm^3
therefore the volume unfilled= 396-200= 196cm^3
therefore % of volume unfilled= 196/396*100= 49.49%
Answer:
(-9, -5)
Step-by-step explanation:
<span>1.Take the principle square root of a negative number.
2 Write a complex number in standard form.
3.Add and subtract complex numbers.
4.Multiply complex numbers.
5. Divide complex numbers.</span>
