How many real solutions does the system have
y=−3x−1
y=x^2−3x+4

The system has no real solutions

Step-by-step explanation:

we have

----> equation A

----> equation B

we know that

The solution of the system of equations is the intersection points both graphs

using a graphing tool

Graphics do not intersect

see the attached figure

therefore

The system has no real solutions

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11