Question

A quadratic equation whose one root is 4 and sum of whose roots is 2, is :-​

Answer 1

Answer:

roots are 4 , -2

Step-by-step explanation:

ax²+bx+c = 0 this is standard equation

let roots be p and q ,given q = 4

sum of the roots  p +q = 2

4 + q = 2

q = -2

roots are 4,-2

product of roots 4 * (-2) == -8

product of roots  == c / a = -8 ⇒ c = -8a

sum of roots == -b/a = 2  ⇒ -b = 2a ⇒ b = - 2a

putting putting c and b vlue in standard equation

ax² -2ax -8a = 0   know put one of root ..i.e, let x = -2

then ⇒a (4)² -2a(-2)-8a = 0

⇒ 16a -8a -8a = 0

sry ans is incomplete if you want to find equation