Answer:
(- 1, 0) and (9, 0 )
Step-by-step explanation:
To find the x- intercepts let y = 0 in the equation and solve for x, that is
x² + y² - 8x - 8y - 9 = 0
x² - 8x - 9 = 0 ← in standard form
(x - 9)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 9 =0 ⇒ x = 9
x + 1 = 0 ⇒ x = - 1
x- intercepts are (- 1, 0 ) and (9, 0 )
