Question

What is the excess of the sum of ² + − ² + and ² + ² − + over ² − + ?​

Answer 1

Answer:

b=6,c=9

We know that equation ax

2

+bx+c=0

Then sum of roots =

a

−b

and product of roots=

a

c

For the 1st equation,

Let the roots be α and β

α+β=b and αβ=c ...(1)

As per the given condition,

(α−2+β−2)=2 ...(2)

∴α+β=6

∴b=6 ...from (1) & (2)

Also, (α−2)(β−2)=1 ...(3)

∴αβ−2(α+β)+4=1

∴c−2(6)=−3

∴c=9