Answer:
37
Step-by-step explanation:
<u>We'll assume the quadratic equation has real coefficients</u>
Answer:
<em>The other solution is x=1-8</em><em>i</em><em>.</em>
Step-by-step explanation:
<u>The Complex Conjugate Root Theorem</u>
if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).
The question does not specify if the quadratic equation has real coefficients, but we will assume that.
Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.
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Answer:
Your answer would be 125 cm³
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Step-by-step explanation:
In order to find the volume of a cube, we would need to use the right formula to find the volume for it.
Volume of a cube formula:

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.
In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.
Lets plug in 5 to our equation.

Now we solve:

This is also the same as:

Your FINAL answer should be 125 cm³
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Graphs of y = x+- 1 and of y = x - 1 are shown in the figure below.
The intersection of the two graphs is the solution for the two equations.
Answer:
There is no solution.
Explanation:
It is clear that the two lines are parallel and will never intersect.
Note that the equation for a straight line is of the form
y = mx + b
where
m = slope,
b = y-intercept.
y = x + 1 has slope of m=1.
y = x - 1 has slope of m=1.
The two slopes are equal.
Because parallel lines do not intercept, there is no solution.