We do completing the square as follows:
Write the equation in such a way that the constants are on one side.
<span>x^2 + 2x = 13
We add a number to both sides that will complete the square on the side which contains the variable x.
</span><span>x^2 + 2x + 1 = 13 +1
We factor the side which contains the variable x.
(x+1)^2 = 14
Therefore, we should add 1 in order to complete the square from the given equation.</span>
Answer:
-2
Step-by-step explanation:
8 -5x+x^3-2x^4
Write the polynomial from highest power of x to lowest power of x
-2x^4+x^3-5x+8
The leading coefficient is the number in front of the highest power of x
-2
Answer:
Distance = 5 units
Step-by-step explanation:
The given problem asks us to determine the distance between two points, (1, 5) and (5, 2).
<h2>Solution:</h2>
In order to find the distance between two points, we can use the following distance formula:

Let (x₁, y₁) = (1, 5)
(x₂, y₂) = (5, 2)
Step 1: Substitute points into the formula:


Step 2: Subtract the integers in each of the parenthesis under the radical:

Step 3: Evaluate the powers (exponents):

Step 4: Add 16 and 9:

Step 5: Take the square root of 25:
⇒ Distance (D) = 5 units.
<h2>Final Answer:</h2>
Therefore, the distance between points (1, 5) and (5, 2) is <u>5 units</u>.
<h3>________________________</h3>
<u><em>Keywords:</em></u>
Distance formula
Two points
____________________________
Learn more about about this topic here:
brainly.com/question/17119550
<span>A peer-viewed article. </span>
Answer:
x=5
y=30
x=15
Step-by-step explanation:
y=3x=15, then x=15/3, x=5
x=10, then y=3x=3*10=30
y=3x=45, then x=45/3, x=15