Question

If one of the zeroes of x²+kx−5 is 1, then k:

a. 0.78
b. 0.22
c. 0.47
d. 0.88

Answer 1

To find the value of k in the quadratic equation x² + kx - 5 = 0, given that one of the zeroes is 1, we can use the fact that the sum of the zeroes of a quadratic equation is equal to the negation of the coefficient of the linear term.

Step-by-step explanation:

To find the value of k in the quadratic equation x² + kx - 5 = 0, given that one of the zeroes is 1, we can use the fact that the sum of the zeroes of a quadratic equation is equal to the negation of the coefficient of the linear term. Since one zero is already given as 1, we can find the other zero by summing the two zeroes and equating it to the negation of the coefficient of x:

1 + x = -k

Solving for k:

k = -1 - 1

k = -2

Therefore, the value of k is -2.