Respuesta :

Answer: Its a

Step-by-step explanation:

The value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.

Quadratic equation :

Given equation is,

                     [tex](x-3)^{2}=5[/tex]

We have to solve above quadratic equation.

Expand above equation first,

                 [tex](x-3)^{2}=5\\\\x^{2} +9-6x=5\\\\x^{2} -6x+4=0\\\\x=\frac{6\pm \sqrt{36-16} }{2} \\\\x=3\pm\sqrt{5}[/tex]

Thus, the value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.

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https://brainly.com/question/1214333

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