Question

-4 is a root of the quadratic
equation x+ px - 4 = 0 .shade the region bounded by these
these lines and x-axis. Find
the area of the shaded region.​

Answer 1

Answer:

${x}^{2} + px - 4 = 0$

$\alpha \beta = - 4 \: \: then \: \alpha = 1 \: \: and \: \: \beta = - 4$

$\alpha + \beta = - 4 + 1 = - 3 = - p \: \: \: then \: p = - 3$

$curve\: is \: \: \: {x}^{2} - 3x - 4$

required Area is integration of

${x}^{2} - 3x - 4$

from -4 to 1.