Question

Determine the number of real solutions of the following system.y = x2 + 3x − 2y = 4x − 1

Answer 1

Answer:

2 real solutions

Step-by-step explanation:

$y=x^2+3x-2$

$y=4x-1$

$x^2+3x-2=4x-1$

$x^2-x-2=-1$

$x^2-x-1=0$

$x=\frac{1 +-\sqrt{1-4*1*(-1)} }{2}$

$x=\frac{1+-\sqrt{5}}{2}$