if one of the zeroes of the quadratic polynominal f(x) = 14x2 - 42k2x - 9 is negative of the othe, find the value of k
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let f(x) = 14x^2 -42k^2x - 9 and Let two zeros of f(x) be m and n...
It is given that one of the zero of f(x) is negative of other
= > m = - n ----( i )
Now
Sum of zeros = - Coefficient of x / coefficient of x
m + n = - ( - 42 k^2 ) / 14
-n + n = 42 k^2 / 14 ----using ( i )
0 = 3 k^2
3 k^2 = 0 => k^2 = 0 => k = 0
It is given that one of the zero of f(x) is negative of other
= > m = - n ----( i )
Now
Sum of zeros = - Coefficient of x / coefficient of x
m + n = - ( - 42 k^2 ) / 14
-n + n = 42 k^2 / 14 ----using ( i )
0 = 3 k^2
3 k^2 = 0 => k^2 = 0 => k = 0
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