Question

Find the value of k for x^2 - 2kx+7k -12=0 so that they have two equal roots

Answer 1

Explanation:

x^2 -2kx +7k -12 = 0

two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0

so k =3 and k =4