If the roots of the quadratic equation x2 – kx + 4 = 0 are equal then the value of k will be:
x2 – kx + 4 = 0
When we compare the above quadratic equation with the generalized one we get,
ax2 + bx + c = 0
a = 1
b = -k
c = 4
Since the quadratic equations have real and equal roots,
b2 – 4ac = 0 for real and equal roots
⟹ (-k) 2 – (4 × 1 × 4) = 0
⟹ k2 – 16 = 0
⟹ k2 = 16
⟹ k= ± 4
So the correct answer is C [4].
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