x²- 4x + 4 = 0, Show that x = 0 is not a root for the given equation.

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Solution

Given: x² – 4x + 4 = 0
On substituting x = 0 in L.H.S. of the given equation, we get:
(0)² – 4(0) + 4
$= 0 - 0 + 4$
$= 4$
$=> L . H . S . \neq R . H . S .$
x = 0 does not satisfy the given equation.
Therefore, x = 0 is not a root of the given quadratic equation.
Hence, proved.

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