Question
Solve each system.$$\begin{array}{c} (y+1)^{2}=-x \\ -(y-1)^{2}=x+4 \end{array}$$
Step 1
Step 1: Add the two equations together: $$(y+1)^{2} + -(y-1)^{2} = -x + (x+4)$$ This simplifies to: $$y^{2} + 2y + 1 - (y^{2} - 2y + 1) = 4$$ Show more…
Show all steps
Your feedback will help us improve your experience
Babita Kumari and 64 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve each system. $$ \begin{aligned} &(y-1)^{2}=x+1\\ &(y+2)^{2}=-x+4 \end{aligned} $$
Conic Sections
Parabolas
Solve each system. $$\begin{array}{l} x^{2}+y^{2}=1 \\ y=x^{2}+1 \end{array}$$
Conic Sections, Nonlinear Inequalities, and Nonlinear Systems
Nonlinear Systems of Equations
Solve each system. $$\begin{aligned} &x^{2}+y^{2}=1\\ &y=x^{2}+1 \end{aligned}$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD