The equation that gives the largest possible solution of ‘x’ is [tex]x^{2}-9=160[/tex]
Answer: Option C
Step-by-step explanation:
Solve for ‘x’ for all given options to find largest possible solution.
Case A: [tex]x^{2}-25=0[/tex]
[tex]x^{2}=25[/tex]
Taking square root for ‘25’, we get x = 5
Case B: [tex]x^{2}+10=154[/tex]
[tex]x^{2}=154-10=144[/tex]
Taking square root for ‘144’, we get ‘x’ as
x = 12
Case C: [tex]x^{2}-9=160[/tex]
[tex]x^{2}=160+9=169[/tex]
Taking square root for ‘169’, we get ‘x’ as x = 13
Case D: [tex]x^{2}+49=50[/tex]
[tex]x^{2}=50-49=1[/tex]
Taking square root for ‘1’, we get ‘x’ as x = 1
Hence, the equation that gives the largest possible solution of ‘x’ is Option C: [tex]x^{2}-9=160[/tex]
