188k views
2 votes
How many real solutions will y=x^2 and y=-2x have? what are the solutions?

2 Answers

2 votes

Answer:

No solutions

Explanation:

Real number solutions only or real and complex solutions. A solution to the system:

y=-2x+2

y=x2-2x+4

is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that

-2x+2=x2-2x+4

solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.

User Vaibhav Agarwal
by
4.3k points
7 votes

Answer:

there is none

Explanation:

User Michael Ressler
by
4.1k points