Question

Q1. Form a quadratic equation whose roots are 4 and -12.
takeing alpha beta​

Answer 1

Answer:

-b/a =4/-12

here

a= -12

and , -b =4

so, b=4

according to question

we have

$\alpha = - 4 \: \: \: \: and \: \beta = - 12$

Answer 2

Answer:

given that 4 and -12 are roots of a quadratic eq

let alpha = 4 and beeta =-12

then alpha + beeta =4+ -12 = -8

alpha*beeta =4* -12= -48

The quadratic eq is of the form

x²-(alpha+beeta)x+ (alpha*beeta)

= x² -(-8)x +(-48)

=x²+8x-48