91Ó°ÊÓ

Evaluate the discriminant for each equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or non real complex. Do not solve the equation. $$3 x^{2}+5 x+2=0$$

Solve each rational inequality. Write each solution set in interval notation. $$\frac{x+3}{x-5} \leq 1$$$

Evaluate the discriminant for each equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or non real complex. Do not solve the equation. $$8 x^{2}=-14 x-3$$

Write each statement as an absolute value equation or inequality. \(k\) is within 0.0002 unit of \(10 .\)

Simplify each power of i. $$i^{22}$$

Evaluate the discriminant for each equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or non real complex. Do not solve the equation. $$2 x^{2}+4 x+1=0$$

Write each statement as an absolute value equation or inequality. \(q\) is no more than 8 units from 22.

Evaluate the discriminant for each equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or non real complex. Do not solve the equation. $$9 x^{2}+11 x+4=0$$

Solve each rational inequality. Write each solution set in interval notation.4 $$9\frac{(5 x-3)^{3}}{(25-8 x)^{2}} \leq 0$$ $$\frac{(2 x-3)(3 x+8)}{(x-6)^{3}} \geq 0 \quad\( 92. \)\frac{(9 x-11)(2 x+7)}{(3 x-8)^{3}}>0$$.

Simplify each power of i. $$i^{32}$$