Answer:
![x^2-9=160](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uqmypbsflodps719jl9ta9jpmfv36ekp15.png)
Explanation:
Verify the solutions of each quadratic function
case 1) we have
![x^2-25=0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/i992jx4vy0f03zmn2m9nvc2sanqo8ldm43.png)
Adds 25 both sides
![x^2=25](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mfjocxvcs8m5m1ye3hnco803gg65oxyzc9.png)
take square root both sides
![x=\pm5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/l3yep5ii24kutsxta38dccbd6fn8p0pf0w.png)
case 2) we have
![x^2+10=154](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5pf1iczbfrh9qwwewxhspl6p51vxu3olp7.png)
Subtract 10 both sides
![x^2=154-10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/io5g00epowd60qle7xb1b729xvrbr31zw3.png)
![x^2=144](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wbudn35re3wyn60n8434c8cl8k6pzayeuz.png)
take square root both sides
![x=\pm12](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z5fmhiabzi3i51o1wm4nhisa4g62g68562.png)
case 3) we have
![x^2-9=160](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uqmypbsflodps719jl9ta9jpmfv36ekp15.png)
Adds 9 both sides
![x^2=160+9](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gdp7zvunpdh3aopmc25tkj4ag6s15d3q6r.png)
![x^2=169](https://img.qammunity.org/2021/formulas/mathematics/middle-school/aus33gfw7pyr3im80a8bs9tp9csvddylux.png)
take square root both sides
![x=\pm13](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xgdys5654lylqlalq3khh9fg7nttbdzr61.png)
case 4) we have
![x^2+49=50](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mufgfn9ishvd3wxbuijk09pb59nf6xv9au.png)
Subtract 49 both sides
![x^2=50-49](https://img.qammunity.org/2021/formulas/mathematics/middle-school/elbb9u6a6i4kc3kmhs182f420tl197ee9h.png)
![x^2=1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gp1wmdlou39vd2c78l1lm6gfdt2dkzwcu4.png)
take square root both sides
![x=\pm1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t4wm0dkzirdvjer0nfquhtfbuwzvsose3s.png)
Compare the solutions
The largest positive solution is x=13