Answer:
x=-6 is an extraneous solution
Step-by-step explanation:
we have

squared both sides



solve the quadratic equation by graphing
The solution is x=-6 and x=-1
see the attached figure
<u><em>Verify each solution</em></u>
substitute the value of x in the original expression
For x=-6


----> is not true
so
Is an extraneous solution
For x=-1


----> is true
so
Is the solution
Since one equation has a negative y and the other has a positive y, I'm going to use those since they cancel each other out. Before that, the two y's need to be equal to each other.
x+2y=6
x-y=3
Multiply the bottom equation by two so then you have:
x+2y=6
2x-2y=6
The y's now cancel out:
x=6
2x=6
Add them together
3x=12
Divide
x=4.
To find y, plug x into either equation (*don't have to do both, but I will)
(4)+2y=6
(4)-y=3
Subtract four
2y=2
-y=-1
Divide each
2y/2 = 2/2
y=1
-y/-1 = -1/-1
y=1
The answer is:
x=4
y=1
I hope that helps!
H=-16x to the second power +136
Answer:
The rational numbers are
and the irrational functions are
.
Step-by-step explanation:
A rational number can be expressed in the form of
, where p and q are integers and q is not equal to 0. For example
.
An irrational function can not be expressed in the form of
, where p and q are integers and q is not equal to 0. For example
.
If any number is multiplied by a irrational number then the resultant number is an irrational number.
By the above definition we can conclude that:
The number
is a rational number.

Therefore
is an irrational number.

Therefore 6.25 is a rational number.

Therefore 0.01045 is a rational number.

The number
is a rational number.

The number
is an irrational number.

Therefore
is an irrational number. The numbers with recursive bar are always rational numbers.