Solve y=/left(left(05xright)^2+1right)

$$y = \frac{ }{ } \left( { \left(05x \right) }^{ 2 } +1 \right)$$

Solve for y

$$y=25x^{2}+1$$

Solution Steps

Anything divided by one gives itself.

$$y=1\left(\left(5x\right)^{2}+1\right)$$

Expand \left(5x\right)^{2}.

$$y=1\left(5^{2}x^{2}+1\right)$$

Calculate 5 to the power of 2 and get 25.

$$y=1\left(25x^{2}+1\right)$$

Use the distributive property to multiply 1 by 25x^{2}+1.

$$y=25x^{2}+1$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{y-1}}{5}$$

$$x=\frac{\sqrt{y-1}}{5}$$

Solve for x

$$x=\frac{\sqrt{y-1}}{5}$$

$$x=-\frac{\sqrt{y-1}}{5}\text{, }y\geq 1$$