Question

if -4 is a root of the equation x^+px-4. and the equation x^+px+q=0 has equal roots find the value of p and q​

Answer 1

Step-by-step explanation:

Given equation is

${x}^{2} + px - 4 \\ given \: \: \: \: \: \: \alpha = - 4 \\ \alpha + \beta = - p \\ - 4 + 1 = - p \\ p = 3 \\ \\ {p }^{2} - 4q = 0 \\ 9 - 4q = 0 \\ q = \frac{9}{4}$