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Solve the quadratic equations by factorization method only:4x2 + 1 = 0 |
Answer» Given as 4x2 + 1 = 0 As we know, i2 = –1 ⇒ 1 = –i2 On substituting 1 = –i2 in the above equation, we get 4x2 – i2 = 0 (2x)2 – i2 = 0 [On using the formula, a2 – b2 = (a + b) (a – b)] (2x + i) (2x – i) = 0 2x + i = 0 or 2x – i = 0 2x = –i or 2x = i x = -i/2 or x = i/2 ∴ The roots of the given equation are i/2, -i/2 |
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