If one zero of the polynomial x2+4kx-25 is the negative of the other , find the value of k ?
Answers
Answered by
84
Hey !
Let us consider one zero of the polynomial is " a "
According to the question,
Other zero of the polynomial = - a
Sum of roots = a + ( -a) = 0
We know that,
For a quadratic equation,
Sum of roots = - ( Coefficient of x) / Coefficient of x²
Given polynomial = x² + 4kx - 25
So, Sum of roots = 4k/1 = 4k
From the data of this question,
Sum of roots = 0
That is, 4k = 0
k = 0/4 = 0 .
Therefore, Value of K = 0
Let us consider one zero of the polynomial is " a "
According to the question,
Other zero of the polynomial = - a
Sum of roots = a + ( -a) = 0
We know that,
For a quadratic equation,
Sum of roots = - ( Coefficient of x) / Coefficient of x²
Given polynomial = x² + 4kx - 25
So, Sum of roots = 4k/1 = 4k
From the data of this question,
Sum of roots = 0
That is, 4k = 0
k = 0/4 = 0 .
Therefore, Value of K = 0
Answered by
4
Step-by-step explanation:
the value of t in this equation is 0
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