Question

At what points do these graphs intersect
y=x²-x-6
y=x+2

Answer 1

`thank \: you`

Answer 2

Solve algebraically

Eliminate y:

• x² - x - 6 = x + 2
• x² - 2x = 8
• x² - 2x + 1 = 9
• (x - 1)² = 3²

• 1) x - 1 = 3 ⇒ x = 4 ⇒ y = 6
• 2) x - 1 = -3 ⇒ x = -2 ⇒ y = 0

The solution is:

• (-2, 0), (4, 6)

Solve graphically

See the attached