[tex]x^2-9 = 160[/tex] has the largest positive solution
Step-by-step explanation:
We can observe the given quadratic equations one by one.
We can see that the given quadratic equations are of the form
[tex]x^2 = c^2[/tex]
OR somehow simplify to the given form
The solution is:
x = ±c
So,
Option 1:
[tex]x^2-25 = 0\\x^2 = 25\\\sqrt{x^2} = \sqrt{25}\\x = 5\ \ , x=-5[/tex]
Option 2:
[tex]x^2+10=154\\x^2+10-10 = 154-10\\x^2 = 144\\\sqrt{x^2} = \sqrt{144}\\x = 12\ \ \ , x = -12[/tex]
Option 3:
[tex]x^2-9=160\\x^2-9+9 = 160+9\\x^2 = 169\\\sqrt{x^2} = \sqrt{169}\\x = 13\ \ \ , x = -13[/tex]
Option 4:
[tex]x^2+49=50\\x^2+49-49 = 50-49\\x^2 = 1\\\sqrt{x^2}= \sqrt{1}\\x = 1\ \ \ , x= -1[/tex]
We can clearly see that:
[tex]x^2-9 = 160[/tex] has the largest positive solution
Keywords: Quadratic equation, variables
Learn more about quadratic equation at:
- brainly.com/question/9967230
- brainly.com/question/9961057
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