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Question
Solve the quadratic equation 8x2 – 14x + 3 = 0
- When x ∈ I (integers)
- When x ∈ Q (rational numbers)
Solution
Given quadratic equation is 8x2 – 14x + 3 = 0
`=>` 8x2 – 12x – 2x + 3 = 0
`=>` 4x(2x – 3) – (2x – 3) = 0
`=>` (2x – 3)(4x – 1) = 0
`=>` (2x – 3) = 0 or (4x – 1) = 0
`=> x = 3/2` or `x = 1/4`
i. When x ∈ I the equation 8x2 – 14x + 3 = 0 has no roots
ii. When x ∈ Q the roots of 8x2 – 14x + 3 = 0 are
x = `3/2` or x = `1/4`
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