Question

Solve the following system of equations. Show all work and solutions.

Answer 1

• y=2x²+6x+1
• y=-4x²+1

Make the equations equal and solve for x

• 2x²+6x+1=-4x²+1
• 6x²+6x=0
• 6x(x+1)=0
• 6x=0 or x+1=0
• x=0 or x=-1

For x=0

• y=-4(0)+1=1

For x=-1

• y=-4(1)+1=-3

The solutions are

• (0,1) and (-1,-3)

Graph attached