Answer:
![35](https://img.qammunity.org/2021/formulas/mathematics/high-school/4bf0kn49h8olce01m3ak1lr0rknsnprfrt.png)
Explanation:
To evaluate the expression:
![x^2+10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/c930r3ueuc5x0pkiuoqjkd4kr237qfwm2r.png)
First, consider the given information:
![x=5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/r130cmidu5qpu4isx9n84rpneq2ec7gp1u.png)
Substitute the given value of
into the expression:
![5^2+10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8q5fqs08k61ukilr8ejo72fpuqom0npg8h.png)
(Note that
is the same as
)
![5*5=25](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hktalu62en6x4gciznhw0wc19yha37ztnh.png)
![5^2=25](https://img.qammunity.org/2021/formulas/mathematics/college/41v4gm0lrxe25jktz1xy72mot17h4eycnl.png)
Add:
![25+10=](https://img.qammunity.org/2021/formulas/mathematics/middle-school/acg926850ocf1o82frmr7lqy97ukphmor1.png)
![35](https://img.qammunity.org/2021/formulas/mathematics/high-school/4bf0kn49h8olce01m3ak1lr0rknsnprfrt.png)
-
We can check our work by setting our solution equal to the initial expression:
![x^2+10=35](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qrcw9n5l1zpla303hs434yhcbcnfl3ogjx.png)
Substitute
for its given value:
![5^2+10=35](https://img.qammunity.org/2021/formulas/mathematics/middle-school/77nwiz7hfqenkidumd8mskm8yjkkvb8sb4.png)
Simplify
:
![25+10=35](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7c2vnrgd3ypo2kj4nubrhl1xs2mg3ye60k.png)
Add:
![35=35](https://img.qammunity.org/2021/formulas/mathematics/college/uhsduegk6x27exh80waokexhcbqf8ts6kz.png)
Since both sides of the equation are equal, our solution is correct!