Question

2. Given one of the roots of the quadratic equation px² - 4x + 3p - 8 = 0 is 1. Diberi satu daripada punca bagi persamaan kuadratik px² - 4x + 3p- 8 = 0 ialah 1. (a) Calculate the value of p. Hitung nilai p. (b) Find the other root of the equation. Cari punca yang satu lagi bagi persamaan itu. Answer/Jawapan: (a) (b) [4 marks​

Answer 1

(a) p = 3

(b) the other root =
`(1)/(3)`

Explanation:

(a)

When the x is substituted by the root, its value has to be 0

p(1)² - 4(1) + 3p - 8 = 0

4p - 12 = 0

p = 3

(b)

equation: 3x² - 4x + 3(3) - 8 = 0

3x² - 4x + 1 = 0

(3x - 1)(x - 1) = 0

x₁ =
`(1)/(3)`

x₂ = 1

the other root =
`(1)/(3)`