On solving the equation, we get the following values of x- 5/6, -5/6 and √-1.
If there exists an equation of the form (x-a)(x-b) = 0, then (x-a) and (x-b) are known as the factors of the equation and x = a and x =b are the roots of the equation.
Here, we are given -3 (36x^2 - 25) (x^2 + 1) = 0
We can find the value of x by equating each of the terms to 0
if (36x^2 - 25) = 0
⇒ 36x^2 = 25
x^2 = 25/36
x = sqrt(25/36)
x = 5/6 or x = -5/6
Similarly, if (x^2 + 1) = 0
⇒ x^2 = - 1
⇒ x = sqrt(- 1)
This will come out to be an imaginary number, since square root of negative numbers are not real. √
Thus, the values of x are- 5/6, -5/6 and √-1.
Learn more about factorizing equations here-
https://brainly.in/question/1844679
#SPJ9
Answer:
n > 4 is the possible value of number
Step-by-step explanation:
Let number = n
Given that:
Six times a number is greater than 20 more than that number
It will make the equation like:
6n > 20 + n
Subtracting n from both sides
6n - n > 20 + n - n
5n > 20
Dividing both sides by 5 we get:
5n / 5 > 20/ 5
n > 4
I hope it will help you!
Step 1: Simplify both sides of the equation.
n+2=−4−n
n+2=−4+−n
n+2=−n−4
Step 2: Add n to both sides.
n+2+n=−n−4+n
2n+2=−4
Step 3: Subtract 2 from both sides.
2n+2−2=−4−2
2n=−6
Step 4: Divide both sides by 2.
2n -6
--- = ---
2 2
n=−3
Answer:
Opction b)
The maximum area that can be enclosed by the fencing
Step-by-step explanation:
I took the test
First one
remember
a/b=c/d also can be written as
ad=bc
so
first one can be rewritten as
3x=96
divide both sides by 3
x=32
2nd ones we can just times both sides by 5 to get
x=50/12
3rd one we times 12 both sides to get
x=8
4th one we translate to
4x=63
divide by 4
x=63/4
5th one we translate to
99=5x
divide by 5
99/5=x
6th one we times 21 both sides
6=x
7th one we times both sides by 16
14=x
last one we translate to
45=3x
divide 3
15=x