Question

plzz help maths .....​

Answer 1

$Answer \: \: \: \\ \\ Given \: \: Quadratic \: \: Equation \: Is \: \\ \\ 2x {}^{2} + px = q \\ \\ if \: \: (x - 5) \: \: is \: the \: factor \:of \: this \: equation \: \: \\ then \ x \: = 5 \: \: is \: its \: root \\ \\ so \: \: its \: two \: roots \: are \: \: \: - 3 \: and \: 5 \\ \\ for \: \: x = - 3 \\ \\ 2( - 3) {}^{2} + p( - 3) = q \\ \\ 18 - 3p = q \\ \\ q + 3p = 18 \: \: ....Equation \: \: \: \: i \\ \\ for \: \: x = 5 \\ \\ 2(5) {}^{2} + p(5) = q \\ \\ q - 5p = 50 \: \: ....Equation \: \: \: ii \\ \\ now \: subtract \: both \: the \: equations \: we \: have \\ \\ 3p + 5p = - 32 \\ \\ 8p = - 32 \\ \\ p = \frac{ - 32}{8} \\ \\ p = - 4 \\ \\ put \: \: value \: of \: p \: in \: Equation \: i \: we \: have \\ \\ q - 3( - 4) = 18 \\ \\ q + 12 = 18 \\ \\ q = 18 - 12 \\ \\ q = 6 \\ \\ Therefore \: \: \: p = - 4 \: \: and \: \: q = 6$

Answer 2

Answer:

Step-by-step explanation: