Write the value of k for which the quadratic equation x² – kx + 4 = 0 has equal roots.
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Value of K = -4
Step-by-step explanation:
The value of k for which the quadratic equation x² – kx + 4 = 0 has equal roots:
+4 can be factorized as -2 and -2.
So k should be -4 for the equation to have equal roots. Let's check.
x² – 4x + 4 = 0
x² – 2x -2x + 4 = 0
x (x-2) -2(x -2) = 0
(x-2) (x-2) = 0
So the roots are equal.
Value of K = -4
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