5x = x^2 + 4
x^2 - 5x + 4 = 0
(x - 4)(x - 1) = 0
x = 4, 1
(x + 6)^2 = 100
x + 6 = +/1 sqrt100
x + 6 = +/- 10
x = 4, -16
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
Answer:
38,38,380
Step-by-step explanation:
GIVEN: A club is considering changing its laws. In an initial straw vote on the issue, 
of the 
members of the club favored the change and 
did not. A committee of six is to be chosen from the club members to devote further study to the issue.
TO FIND: How many committees of six can be formed from the club membership.
SOLUTION:
Total number of members 
Total members to be chosen 
To select committee of 
members from 
Hence 38,38,380 different committee can be formed.
