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The solution of x is +12 and -12.

Step-by-step explanation:

Given,

[tex]3x^{2}+4 = 436[/tex]

To find the values of x

[tex]3x^{2} +4 = 436[/tex]

or, [tex]3x^{2} = 436-4[/tex]

or, [tex]3x^{2} = 432[/tex]

or, [tex]x^{2} = \frac{432}{3}[/tex]

or, [tex]x^{2} = 144[/tex]

or, x= ±[tex]\sqrt{144}[/tex] [ a square root has two values, so we put ± sign]

or, x = ±12