SOLUTION: Use substitution with the two equations and determine the points of intersection.
y=x^2-1
y=x
Algebra.Com
Question 228281: Use substitution with the two equations and determine the points of intersection.
y=x^2-1
y=x
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
y=x^2-1
y=x
REPLACING Y WITH X IN THE FIRST EQUATION WE GET:
X=X^2-1
X^2-X-1=0
X=(1+-SQRT[-1^2-4*1*-1])/2*1
X=(1+-SQRT1+4)/2
X=(1+-SQRT5)/2
X=(1+-2.236) /2
X=(1+2.236)/2
X=3.236/2
X=1.618 ANS. Y=1.618 ANS.
X=(1-2.236)/2
X=-1.236/2
X=-.618 ANS. Y=-.618 ANS
PROOF:
1.618=1.618^2-1
1.618=2.618-1
1.618=1.618
-.618=-.618^2-1
-.618=.382-1
-.618=-.618
RELATED QUESTIONS
Use substitution with the two equations and determine the points of intersection. Show... (answered by drj)
- Determine how many solutions exist
- Use either elimination or substitution to find... (answered by venugopalramana)
Determine how many solutions exist and use either elimination or substitution to find the (answered by richwmiller)
For the systems of linear equations in question 1
- Determine how many solutions... (answered by venugopalramana)
For the systems of linear equations in questions 1-3
- Determine how many solutions... (answered by nyc_function,Alan3354)
For the following systems of linear equations:
a) Determine how many solutions exist... (answered by Edwin McCravy)
Please help :D
For the following systems of linear equations
-Determine how many... (answered by sassylilmommie)
2. For the systems of linear equations in questions 1-3
- Determine how many solutions... (answered by josmiceli)
- Determine how many solutions exist
- Use either elimination or substitution to find... (answered by venugopalramana)