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If the Roots of X² + Kx + K = 0 Are Real and Equal, What is the Value of K? - Algebra

Question

If the roots of x² + kx + k = 0 are real and equal, what is the value of k?

Options
  •  0

  • 4

  • 0 or 4

  •  2

Solution

0 or 4

X^2+kx+k has distinct real solution .

So, for distinct real solution

Use formula b^2 - 4ac>0

a = 1 , b= k , c = k

Put formula b^2– 4ac>0

K^2 - 4×1×k >0

K^2 - 4k>0

K(k-4)>0

K>0, k -4>0

K>0, k<4

  Is there an error in this question or solution?
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If the Roots of X² + Kx + K = 0 Are Real and Equal, What is the Value of K? Concept: Roots of a Quadratic Equation.
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