Answer:
[tex]x^2-9=160[/tex]
Step-by-step explanation:
Verify the solutions of each quadratic function
case 1) we have
[tex]x^2-25=0[/tex]
Adds 25 both sides
[tex]x^2=25[/tex]
take square root both sides
[tex]x=\pm5[/tex]
case 2) we have
[tex]x^2+10=154[/tex]
Subtract 10 both sides
[tex]x^2=154-10[/tex]
[tex]x^2=144[/tex]
take square root both sides
[tex]x=\pm12[/tex]
case 3) we have
[tex]x^2-9=160[/tex]
Adds 9 both sides
[tex]x^2=160+9[/tex]
[tex]x^2=169[/tex]
take square root both sides
[tex]x=\pm13[/tex]
case 4) we have
[tex]x^2+49=50[/tex]
Subtract 49 both sides
[tex]x^2=50-49[/tex]
[tex]x^2=1[/tex]
take square root both sides
[tex]x=\pm1[/tex]
Compare the solutions
The largest positive solution is x=13
