How many real solutions does the system have?

y=−3x−1

y=x^{2}−3x+4

I think 2 ?

jjennylove Feb 20, 2019

#2**+4 **

No real solutions.....we could solve this algebraically....but this shows that the graphs do not intersect....

https://www.desmos.com/calculator/g69psgs4hq

CPhill Feb 20, 2019

#4**+4 **

x^2 - 3x + 4 = -3x-1 add 3x to both sides

x^2+4 = -1 add 1 to both sides

x^2 + 5 = 0

x^2 = -5

x =+- sqrt( -5) No REAL solutions to the system...

ElectricPavlov Feb 20, 2019