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
Read more about equations at:
brainly.com/question/13763238
#SPJ1
Answer:
<em>Since one of the angles is 90°, the triangle is right.</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
The sum of angles in a triangle is 180°. We are given the angles are x, 5x, and 6x, thus:
x + 5x + 6x = 180
Simplifying:
12x = 180
Dividing by 12:
x = 180/12 = 15
x = 15°
5x = 75°
6x = 90°
Since one of the angles is 90°, the triangle is right.
Answer:
In order for me to help you I need to either see a photo or know more about the other angle.
Step-by-step explanation:
Answer:
y=-4/7
Step-by-step explanation:
7y/2=-2
multiply both sides by 2
7y=-4
divide both sides by 7
y=-4/7
