Graphing Systems of Nonlinear Equations
Read this topicExplanations 3
- There are different methods to solving systems of equations. You've already learned about graphing systems of linear equations, but now we're going to dive into graphing systems…
By Anusha Rahman, Gabi Slizewska
- (Video) Solving a System of Non-Linear Equations by Tara Jones Math Videos This video by Tara Jones Math Videos walks you through an example of using graphing to solve a system …
By Anusha Rahman
- Graphing Systems of Nonlinear Equations If we were to graph two equations, y=x2−3y=4x−3\begin{align} y &= x^2 -3 \\ y&= 4x -3 \\ \end{align}yy=x2−3=4x−3 we could find the poi…
By Anusha Rahman
Problems 10
- Let x=4/253x = \sqrt[3]{4/25}x=34/25. There is a unique value of yyy such that 0<y<x0 < y < x0<y<x and xx=yyx^x = y^yxx=yy. What is the value of y3y^3y3? (Hint: Let k∈(0,1)k\in…
- Suppose that xxx, yyy, and zzz are real numbers such that x2+y2+z2=6.x^2 + y^2 + z^2 = 6.x2+y2+z2=6. What is the largest possible value of zzz?
- How many real solutions does the system xy=1xy=−1\begin{align*} xy &= 1 \\ xy &= -1 \end{align*}xyxy=1=−1 have?
- How many real solutions does the system x2+y2=2016xy=−1\begin{align*} x^2 + y^2 &= 2016 \\ xy &= -1 \end{align*}x2+y2xy=2016=−1 have?
- How many real solutions does the system x2+y2=2016y=x2\begin{align*} x^2 + y^2 &= 2016 \\ y &= x^2 \end{align*}x2+y2y=2016=x2 have?
- Solve the system of nonlinear equations. {3x2+36=8y10x2−34=y2x+3y=22\\\begin{cases}3x^2+36=8y\\10x^2-34=y\\2x+3y=22\end{cases}⎩⎨⎧3x2+36=8y10x2−34=y2x+3y=22
- Find all solutions to this system of equations: {y=x2+2x+1(1)y=x2+2x−1(2)\begin{cases} y=x^2+2x+1 \quad (1)\\ y=x^2+2x-1 \quad (2) \end{cases}{y=x2+2x+1(1)y=x2+2x−1(2)
- Observe the following system of inequalities {y=2x2−4x+6(1)y=x2−5x+2 (2)\begin{cases} y=2x^2-4x+6 \quad (1)\\ y=x^2-5x+2 \:\:\quad (2) \end{cases}{y=2x2−4x+6(1)y=x2−5x+2(2) How…
- Observe the following system of inequalities {y=4x2−11x+10(1)y=12x2−x+2 (2)\begin{cases} y=4x^2-11x+10 \quad (1)\\ y=\frac{1}{2}x^2-x+2 \:\:\quad (2) \end{cases}{y=4x2−11x+10(1)…
- Suppose that xxx, yyy, and zzz are real numbers such that x+y+z=3x + y + z = 3x+y+z=3 and x2+y2+z2=6.x^2 + y^2 + z^2 = 6.x2+y2+z2=6. What is the largest possible value of zzz? \…