Paki Sagot Naman Po Please With Solution 1. 2(x+5)²+13=113 2. 2x²+4=x²+19 P…

paki sagot naman po please with solution

1. 2(x+5)²+13=113
2. 2x²+4=x²+19

please po sagot.

[tex]1) 2(x+5)^2+13=113 \ \ \ \ | (-13) \\\\ 2(x+5)^2=100 \ \ \ |:2 \\\\ (x+5)^2=50 \\\\ \sqrt{(x+5)^2}= \sqrt{50} \\\\ |x+5|= 5\sqrt{2} \\\\ ===\ \textgreater \ I) x+5= 5\sqrt{2} \longrightarrow \boxed{x= 5\sqrt{2}-5} \\\\ ===\ \textgreater \ II) x+5= -5\sqrt{2} \longrightarrow \boxed{x= -5\sqrt{2}-5} \\\\\\ 2)2x^2+4=x^2+19 \\\\ 2x^2-x^2=19-4 \\\\ x^2= 15 \\\\ \sqrt{x^2}=\sqrt{15} \\\\ |x|= \sqrt{15} \\\\\ ===\ \textgreater \ \boxed{ x = \pm \sqrt{15}}[/tex]

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