Solve 9+(12/5)^2+x^2-9/5

$$9 + ( \frac { 12 } { 5 } ) ^ { 2 } + x ^ { 2 } - \frac { 9 } { 5 }$$

Evaluate

$$x^{2}+\frac{324}{25}$$

Solution Steps

Calculate \frac{12}{5} to the power of 2 and get \frac{144}{25}.

$$9+\frac{144}{25}+x^{2}-\frac{9}{5}$$

Add 9 and \frac{144}{25} to get \frac{369}{25}.

$$\frac{369}{25}+x^{2}-\frac{9}{5}$$

Subtract \frac{9}{5} from \frac{369}{25} to get \frac{324}{25}.

$$\frac{324}{25}+x^{2}$$

Factor

$$\frac{25x^{2}+324}{25}$$

Solution Steps

Factor out \frac{1}{25}. Polynomial 25x^{2}+324 is not factored since it does not have any rational roots.

$$\frac{324+25x^{2}}{25}$$