Question

If alpha and beata are the roots of the equation 2x2-5x-7 =0 then the equation whose roots are 2 ×alpha+3× beata and 3×alpha +2×beata

Answer 1

Roots of 2x^2 -5x-7 are 3.5 and -1

Let alpha =3.5

Beta= -1

So, 2*alpha +3*beta= 4

3*alpha +2*beta=8.5

So the equation is

(x-4)*(x-8.5) = 0

x^2 -12.5x + 34= 0

2x^2 -25x + 68=0

Step-by-step explanation: