Solve f(x)=x^2-7x+10,quadv

$$f ( x ) = x ^ { 2 } - 7 x + 10 , \quad v$$

Solve for f

$$f=x-7+\frac{10}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xf=x^{2}-7x+10$$

Divide both sides by x.

$$\frac{xf}{x}=\frac{\left(x-5\right)\left(x-2\right)}{x}$$

Dividing by x undoes the multiplication by x.

$$f=\frac{\left(x-5\right)\left(x-2\right)}{x}$$

Divide \left(-5+x\right)\left(-2+x\right) by x.

$$f=x-7+\frac{10}{x}$$

Solve for x (complex solution)

$$x=\frac{-\sqrt{f^{2}+14f+9}+f+7}{2}$$

$$x=\frac{\sqrt{f^{2}+14f+9}+f+7}{2}$$

Solve for x

$$x=\frac{-\sqrt{f^{2}+14f+9}+f+7}{2}$$

$$x=\frac{\sqrt{f^{2}+14f+9}+f+7}{2}\text{, }f\geq 2\sqrt{10}-7\text{ or }f\leq -2\sqrt{10}-7$$