if the sum of the zeros of the quadratic polynomial x2+4kx-3 is 4 then find the value of k
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Given :- if the sum of the zeros of the quadratic polynomial x² + 4kx - 3 is 4 then find the value of k ?
Solution :-
we know that, sum of zeros of quadratic equation in the form of ax² + bx + c = 0 , is given by :-
- (-b/a) .
comparing x² + 4kx - 3 = 0 with ax² + bx + c = 0, we get,
- a = 1
- b = 4k
- c = (-3)
so,
→ sum of zeros = 4
→ (-b/a) = 4
→ (-4k)/1 = 4
→ (-4k) = 4
→ k = (-1) (Ans.)
Hence, value of k will be (-1) .
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