Question

2. Determine the quadratic equation if sum of the roots are 2 and the product of the roots are 3/4.

Answer 1

Answer:

4x^2-8x+3

k[x^2-[A+B]+AB]

A+B=2

AB=3/4

therefore,

k[x^2-2x+3/4]

let k= 4

4x^2-8x+3

Answer 2

Answer:4x^2-8x+3=0

Step-by-step explanation:

alpha + beta = 2

alpha + beta = 3/4

thus the quadratic equation is x^2-2x+3/4

mul the equation by 4 that implies 4x^2-8x+3