Question

Find the least value of K, K belongs to N, which makes the roots of the equation x² +5x+k=0 Imaginery​

Answer 1

Answer:

Step-by-step explanation:

Given equation is

$\tt{x^2+5x+k=0}$

For imaginary roots, its discriminant must be less than 0, so,

$\tt{(5)^2-4\cdot\,k\cdot\,1<0}$

$\tt{\implies\,25-4k<0}$

$\tt{\implies\,4k-25>0}$

$\tt{\implies\,k>\dfrac{25}{4}}$

So, the least value of 'k' is 7