Answer:
x=±√7
Step-by-step explanation:
Hi there!
We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).
So we need to isolate x onto one side.
We can start by adding 42 to both sides
6x²=42
divide both sides by 6
x²=7
Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).
x=√7 and x=-√7 (can be rewritten as x=±√7)
Hope this helps! :)
You know when a squared number is ration when it is a perfect square like the square root of 25 is 5. The square root can't be a decimal.
Answer: $46.08
Step-by-step explanation: starts at 36....marks up by 60%
36 + 0.60(36) = 36 + 21.60 = 57.60
now they mark it down by 20%
57.60 - 0.20(57.60) = 57.60 - 11.52 = 46.08
Answer:
<em>The width of the garden is 22.12 m and its length is 27.12 m</em>
Step-by-step explanation:
<u>Equations</u>
Let x = width of the garden
The length is 5 m longer than the wide, thus:
x + 5 = length of the garden
The area of the rectangular garden is
A=x(x+5)=600
Operating:
Solving with the quadratic formula:
Where a=1 b=5 c=-600:
Operating:
There are two solutions:
x = 22.12
x = -27.12
The negative solution is not valid because x is the width of the garden, thus
x = 22.12 m
And
y = 22.12 + 5 = 27.12 m
The width of the garden is 22.12 m and its length is 27.12 m
Answer:It’s about 0.6444
Step-by-step explanation: