Question

find the quadratic equation whose roots are 3 more than the roots of 2x^2+4x-1=0​

Answer 1

Answer:

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Step-by-step explanation:

Given that,

x  2 −2x+3=0

Let the roots be α,β

If we consider the roots of required equation at A,B

A=α+2B=β+2

Weknow,

αβ=3

α+β=2

​  

 

Re plating α,β by x and A,Bby x.

x=x−2

In equation:

(α−2)  

2

−2(α−2)+3=0

x  

2

+4−4x−2x+4+3=0

x  

2

−6x+11=0

​  

 

Required equation.