Question

the roots of quadratic equation are Kx square +4x+1=0 are recurring then k=? ​

Answer 1

Answer:

4

Step-by-step explanation:

First of all a recurring number means a number which gets has a digit which gets repeated . Eg: 1/3=0.333333..... and so on . so these type of numbers are recurring. So its a fraction.

so if the quadratic equation has both its roots as recurring that is as rational number.

so its discriminant D=0

so D=b^2 -4ac =0           {a=K,b=4,c=1 as per question}

4^2 - 4[K][1]=0

16-4K=0

K=4.