Question 1169986: You and a friend are driving on the road. Your path can be modeled by the equation y=X^2-4x-1 and your friends path can be modeled by the equation y=2x+8. Do your paths cross each other? If so, what are the coordinates of the point(s) where the paths meet?
Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website! .
To answer the question, you need to solve the equation
x^2 - 4x - 1 = 2x + 8.
Reduce it to the standard form quadratic equation
x^2 - 6x - 9 = 0.
To find the solution, apply the quadratic formula.
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If you don't know what the quadratic formula is and how to apply it, you may learn it
from the lessons
- Introduction into Quadratic Equations
- PROOF of quadratic formula by completing the square
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook under the topic "Quadratic equations".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.
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