The solution to the equation is p = 1/3 and q = undefined
<h3>How to solve the equation?</h3>
The equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
The best way to solve the above equation is by the use of a graphing calculator i.e. graphically
However, it can be solved algebraically too (to some extent)
Recall that the equation is given as:
p^2 - 2qp + 1/q = (p - 1/3)
Split the equation
So, we have
p^2 - 2qp + 1/q = 0
p - 1/3 = 0
Solve for p in p - 1/3 = 0
p = 1/3
Substitute p = 1/3 in p^2 - 2qp + 1/q = 0
So, we have
(1/3)^2 - 2q(1/3) + 1/q = 0
This gives
1/9 - 2/3q + 1/q = 0
This gives
2/3q + 1/q = -1/9
Multiply though by q
So, we have
2/3q^2 + 1 = -1/9q
Multiply through by 9
6q^2 + 9 = -q
So, we have
6q^2 + q + 9 = 0
Using the graphing calculator, we have
q = undefined
Hence. the solution to the equation is p = 1/3 and q = undefined
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Answer:
Right Triangle, Acute Triangle, and Obtuse Triangle
Step-by-step explanation:
I can't draw it here but the right triangle has a side of 90°.
An acute triangle has a side smaller than 90°.
An obtuse triangle has a side bigger than 90°.
Answer:
z-12
Step-by-step explanation:
you start of by z baseball and i know for a fact that fewer means subtraction so the answer is z-12
Answer:
The 3rd term is
Step-by-step explanation:
From the given information, the first term of the sequence is
The common ratio of the sequence is
The explicit formula for a geometric sequence is :
To find the third term, we put n=3 to get:
This simplifies to:
