Factor & Finding Zeros x^{2} -x-6=0
1 answer:
Answer:
x = 3, -2
Step-by-step explanation:
To help us factor, we can split the middle term up into the sum of the terms -3x and 2x:
From there, we can factor out an x from the first two term and a 2 from the last two to obtain the equation
Factoring out an (x - 3) from each term gives us the equation
At this point, we can divide by either x - 3 or x + 2 to obtain the two equations
and
Solving both for x gives us the solutions x = 3 and x = -2. We can verify these by substituting them back into the original equation:
You might be interested in
First question.
We will build up the 3-dimensional object from the dimensions shown in the view above. In doing this, the object is as shown in figure 1. So, we need to find the volume of this object. Let's cut off this object into two objects, so in doing this we can find the whole volume as the sum of the volume in green plus the volume in red (both are cubes), so:
So the answer is G.
Second question
The answer is D. Let's analyze it:
Given that r represents the radius of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:
These are the values of n shown in the table above.
We will build up the 3-dimensional object from the dimensions shown in the view above. In doing this, the object is as shown in figure 1. So, we need to find the volume of this object. Let's cut off this object into two objects, so in doing this we can find the whole volume as the sum of the volume in green plus the volume in red (both are cubes), so:
So the answer is G.
Second question
The answer is D. Let's analyze it:
Given that r represents the radius of the pizza and n the number of slices, so if we substitute r in this equation, then the values for n are:
These are the values of n shown in the table above.