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K value

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Hi!

Can you please explain how I could possibly find the k value of kx+ 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

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