We know the equation 2x & # 178; + (K & # 178; + K-6) x + 2K = 0 about X. if its two numbers are reciprocal to each other, then k =. If its two numbers are opposite to each other, then k =. Please be more detailed. This problem is about Weida's theorem

We know the equation 2x & # 178; + (K & # 178; + K-6) x + 2K = 0 about X. if its two numbers are reciprocal to each other, then k =. If its two numbers are opposite to each other, then k =. Please be more detailed. This problem is about Weida's theorem

x1+x2=-(k²+k-6)/2
x1x2=2k/2
1. The two are reciprocal
∴x1x2=1
∴2k/2=1
∴k=1
2. Two numbers are opposite to each other
∴k²+k-6=0
‖ k = - 3 or K = 2