Consider given equation, #10; #10; #10; #10; x^2 12x+36=0 #10; #10; x^2 6x 6x+36=0 #10; #10; x( x 6 ) 6( x 6 )=0 #10; #10; ...

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Finding Square Root through Prime Factorisation

Solve x2-12...

Question

Solve $x^{2} - 12 x + 36 = 0$

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Solution

Consider given equation,

$x^{2} - 12 x + 36 = 0$

$x^{2} - 6 x - 6 x + 36 = 0$

$x (x - 6) - 6 (x - 6) = 0$

$(x - 6) (x - 6) = 0$

Hence, $x = 6, 6$

Hence, this is the answer.

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