Noticeably Absent Posted December 10, 2014 Report Share Posted December 10, 2014 Hi! Can you please explain how I could possibly find the k value of kx2 + 3x +1= 0, with exactly one solution. Reply Link to post Share on other sites More sharing options...
Vioh Posted December 10, 2014 Report Share Posted December 10, 2014 Hi!Can you please explain how I could possibly find the k value of kx2 + 3x +1= 0, with exactly one solution. Theory: a quadratic of the form ax2 + bx + c = 0 will have exactly one solution when the discriminant is equal to zero, i.e. Δ = b2 - 4ac = 0 So now you just have to plug the numbers into the equations in the theory above. Because your equation is kx2 + 3x + 1 = 0, then a = k, and b = 3, and c = 1. Hence, the discriminant is Δ = 32 - 4(k)(1) = 9 - 4k = 0. Thus 9 = 4k, which means that k = 9/4 1 Reply Link to post Share on other sites More sharing options...
Noticeably Absent Posted December 10, 2014 Author Report Share Posted December 10, 2014 Much appreciated answer! I completely forgot about the discriminant! Marvellous!👌 Reply Link to post Share on other sites More sharing options...
Noticeably Absent Posted December 10, 2014 Author Report Share Posted December 10, 2014 Much appreciated answer! I completely forgot about the discriminant! Marvellous!👌 Reply Link to post Share on other sites More sharing options...
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.