91Ó°ÊÓ

Solve each equation in by making an appropriate substitution. $$ \left(y-\frac{8}{y}\right)^{2}+5\left(y-\frac{8}{y}\right)-14=0 $$

Evaluate \(x^{2}-2 x+2\) for \(x=1+i\)

In Exercises \(51-58,\) determine whether each equation is an identity, a conditional equation, or an inconsistent equation. $$ \frac{2 x}{x-3}=\frac{6}{x-3}+4 $$

Solve each inequality in Exercises 57-84 by first rewriting each one as an equivalent inequality without absolute value bars. Graph the solution set on a number line. Express the solution set using interval notation. $$|x|<3$$

In Exercises \(57-76,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A=l w\) for \(w\)

Solve each equation in Exercises \(55-64\) using the quadratic formula. $$ x^{2}+5 x+3=0 $$

Solve each inequality in Exercises 57-84 by first rewriting each one as an equivalent inequality without absolute value bars. Graph the solution set on a number line. Express the solution set using interval notation. $$|x|<5$$

In Exercises \(51-58,\) determine whether each equation is an identity, a conditional equation, or an inconsistent equation. $$ \frac{3}{x-3}=\frac{x}{x-3}+3 $$

Solve each equation in by making an appropriate substitution. $$ \left(y-\frac{10}{y}\right)^{2}+6\left(y-\frac{10}{y}\right)-27=0 $$

In Exercises \(57-76,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(D=R T\) for \(R\)