Question

it root of x 2 - bx + c is equal to zero is decreased by 2 find the value of v and c if the result equation is X2 - 2 X + 1 is equal to zero​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Let α,β are the roots of equation ax2+bc+c=0

Then, α−1 and β−1 are the roots of equation 2x2+8x+2=0

Then, sum of roots, (α−1)+(β−1)=−82

⇒α+β=−4+2

⇒α+β=−2→(1)

Product of roots, (α−1)(β−1)=22

⇒αβ−α−β+1=1

⇒αβ−(α+β)=0

⇒αβ=α+β

⇒αβ=−2→(2)

As, α and β are the roots of ax2+bx+c=0

∴−ba=α+βandca=αβ

⇒−ba=−2andca=−2

⇒b=2aandca=−2a

⇒b=−c

So, option 2 is the correct option.