Answer:
a = 0.3 and b = - 1.1
Step-by-step explanation:
(x - 2)² = x² -4x + 4
Hence, x² - 4x + 4 = 3x - 6
x² - 7x + 10 = 0
(x - 5)(x - 2) = 0
∴ x = 5 or 2
f(5) = 25a + 5b = 2 ----- (i)
f(2) = 4a + 2b = -1 ------ (ii)
(i) X 2: 50a + 10b = 4 ----- (iii)
(ii) X 5: 20a + 10a = -5 ---- (iv)
Subtract (iv) from (iii): 30a = 9
a = 0.3
Substitute a into (ii) to obtain b
4(0.3) + 2b = -1
2b = -1 - 1.2 = -2.2
∴ b = -1.1
