Question

If one root of 2x2 + kx + 1 = 0 is - 1/4, then the value of ‘k’ is

Answer 1

Step-by-step explanation:

$2 {x}^{2} + kx + 1 = 0$

$2( \frac{ - 1}{4} ) ^{2} + k( \frac{ - 1}{4} ) + 1 = 0$

$\frac{ - 1}{8} + \frac{ - 1}{4} k = - 1$

$\frac{ - 1}{4} k = - 1 + \frac{1}{8}$

$\frac{ - 1}{4} k \: = \frac{ - 8 + 1}{8}$

$k \: = \frac{ - 7}{8} \times \frac{ - 4}{1}$

$k = \frac{ -7}{2}$

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