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Find the zeroes of the quadratic polynom...

Find the zeroes of the quadratic polynomial `x^(2)-3x -10` and verify the relationship between the zeroes and coefficient.

Text Solution

Verified by Experts

`x^(2)- 3x -10 =0`
`x^(2)- 5x + 2x - 10 =0`
`x(x-5)+ 2(x-5)=0`
`(x-5) (x+2) =0`
`X = 5, -2`
Sum of the roots `= (-b)/(a) = (3)/(1)`
which is same as `5 -2 =3`
product of the roots `= (c)/(a) = -10`
which is same as `5x(-2)= -10`
Hence verified
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