9514 1404 393
Answer:
x = √2
Step-by-step explanation:
A graph indicates the only solution is near x=√2.
__
Square both sides, separate the radical and do it again.
Now, we can put this polynomial equation into standard form and factor it.
The original equation requires that we restrict the domain of possible solutions. In order for the radicals to be non-negative, we must have x ≥ 4/3. In order for the left side of the equation to be non-negative, we must have x ≤ 2. So, the only potential solutions will be in the interval [4/3, 2].
The only values in the above list that match this requirement are {√2, 2}. We know that the right side of the equation cannot be zero, so the value x=2 is also an extraneous solution.
The only solution is x = √2.
_____
<em>Additional comment</em>
For solving higher-degree polynomials, I like to use a graphing calculator to help me find the roots. The second attachment shows the roots of the 6th-degree polynomial. They can help us factor the equation. (There are also various machine solvers available that will show factors and roots.)
Answer:
Step-by-step explanation:
Both equations have straight line graphs. These lines have the same slope, 2. The first graph goes through the origin, so we say the y-intercept is (0, 0). The second graph is parallel to the first, but goes through (0, 3).
These two graphs never intersect, and thus if we regard them as representing a system of linear equations, we conclude that the system has no solution.
Answer:
$12
Step-by-step explanation:
u do 120 divided by 10 which gives u 12 which gives u per hours
hope this helps
Janelle will spend $7.50 because each smoothie costs .75 cents.