Answer:
(5, 18) and (-5, 38)
Step-by-step explanation:
Equating the values of the function f(x) :
- x² - 2x + 3 = -2x + 28
- x² + 3 = 28 [Cancelling out -2x on each side]
- x² + 3 - 3 = 28 - 3 [Subtracting 3 on each side]
- √x² = √25 [Taking square root on each side]
- x = ±5
Taking x = +5 :
- f(5) = -2(5) + 28
- f(5) = -10 + 28
- f(5) = 18
- Ordered pair = (5, 18)
Taking x = -5 :
- f(-5) = -2(-5) + 28
- f(-5) = 10 + 28
- f(-5) = 38
- Ordered pair = (-5, 38)
The solutions are : (5, 18) and (-5, 38)
