91Ó°ÊÓ

Solve each equation in Exercises \(65-74\) using the quadratic formula. $$ x^{2}-6 x+10=0 $$

Solve each absolute value inequality. $$|3 x-8|>7$$

Solve each absolute value equation or indicate that the equation has no solution. $$ |x+1|+5=3 $$

Determine whether each statement is true or Jalse. If the statement is false, make the necessary change(s) to produce a true statement. If a point is on the \(y\) -axis, its \(x\) -coordinate must be \(0 .\)

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$\frac{1}{p}+\frac{1}{q}=\frac{1}{f} \text { for } f$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. In the complex number system, \(x^{2}+y^{2}\) (the sum of two squares) can be factored as \((x+y i)(x-y i)\)

Determine whether each statement is true or Jalse. If the statement is false, make the necessary change(s) to produce a true statement. The ordered pair \((2,5)\) satisfies \(3 y-2 x=-4\)

Solve each absolute value inequality. $$|5 x-2|>13$$

Combine the types of equations we have discussed in this section. Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. \(2(x+2)+2 x=4(x+1)\)

Solve each equation in Exercises \(65-74\) using the quadratic formula. $$ x^{2}-2 x+17=0 $$