Solve x^2+5^25^2+22/23

$${ x }^{ 2 } + { 5 }^{ 2 } { 5 }^{ 2 } + \frac{ 22 }{ 23 }$$

Evaluate

$$x^{2}+\frac{14397}{23}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$x^{2}+5^{4}+\frac{22}{23}$$

Calculate 5 to the power of 4 and get 625.

$$x^{2}+625+\frac{22}{23}$$

Add 625 and \frac{22}{23} to get \frac{14397}{23}.

$$x^{2}+\frac{14397}{23}$$

Factor

$$\frac{23x^{2}+14397}{23}$$

Solution Steps

Factor out \frac{1}{23}. Polynomial 23x^{2}+14397 is not factored since it does not have any rational roots.

$$\frac{23x^{2}+14397}{23}$$