Question

The value of 'p' for which x = -1/2 is a root of the equation 4x^2 - 3px - p = 0 1 point 1 -2 2 0

Answer 1

Answer:

$x = \frac{ - 1}{2 } \\ equation \: is \: 4 {x}^{2} - 3px - p = 0 \\ 4 \times ( { \frac{ - 1}{2} )}^{2} - 3 \times (\frac{ - 1}{2} ) \times p - p = 0 \\ 4 \times \frac{1}{4} + \frac{3}{2} p - p = 0 \\ 1 + \frac{3}{2} p - p = 0 \\ \frac{2 + 3p - 2p}{2} = 0 \\ 2 + 3p -2 p = 0 \\ 2 + p = 0 \\ p = - 2$

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