Question

if α and β are the roots of the equation 2x2-3x-6 =0. the equation whose roots are 1/α and 1/β is​

Answer 1

Answer:

4x²-49x+118=0

Step-by-step explanation:

α+β= 3/2

And

α.β=−3

Therefore,

α²+β²=(α+β)²−2αβ

= 9/4+6

= 33/4

Hence, the equation will be

x²−(33/4+4)x+(9+2)+(33/4+4)=0

4x²-49x+118=00