Beginning Algebra, 11th Edition

560 CHAPTER 9 Quadratic Equations OBJECTIVES OBJECTIVE 1 Solve quadratic equations by completing the square when the coefficient ...

Therefore, if we add 9 to each side of the equation will have a perfect square trinomial on the left side, as needed. Add 9. 1 x ...

OBJECTIVE 2 Solve quadratic equations by completing the square when the coefficient of the second-degree term is not 1.If a quad ...

Step 4 Solve the equation by using the square root property. or Square root property or Take square roots. or Subtract 2. or CHE ...

Step 4 Solve by using the square root property. or Square root property or Add or Simplify. or Lowest terms A check confirms tha ...

NOTE The solutions given in Example 7are exact. In applications, dec- imal solutions are more appropriate. Using the square root ...

Solve each equation by completing the square. See Examples 2 and 3. Solve each equation by completin ...

Write each quotient in lowest terms. Simplify the radicals. See Section 8.5. Evaluate the expression for the giv ...

(b) First write the equation in standard form x^2 - 6 x+ 2 = 0 Subtract 6x. x^2 + 2 = 6 x ax^2 +bx+c=0. x^2 + 2 = 6 x 568 ...

The final result on the right (which is also valid for ) is called the quadratic formula.It gives two values: one for thesign a ...

Rewriting a Quadratic Equation before Solving Solve Write the given equation in standard form as Quadratic formula Substitute an ...

Solving a Quadratic Equation with Fractions Solve Clear fractions. Multiply by the LCD, 10. Distributive property Multiply. Subt ...

13.Concept Check A student writes the quadratic formula as . WHAT WENT WRONG?Explain the error, and give the correct formula. 14 ...

56.An astronaut on the moon throws a baseball upward. The altitude (height) hof the ball, in feet, xseconds after he throws it, ...

574 CHAPTER 9 Quadratic Equations OBJECTIVES Some quadratic equations have no real number solutions. For example, solving the eq ...

Simplifying Square Roots of Negative Numbers Write each number as a multiple of i. EXAMPLE 1 SECTION 9.4 Complex Numbers 575 (a) ...

OBJECTIVE 2 Add and subtract complex numbers. Adding and subtracting complex numbers is similar to adding and subtracting binomi ...

(c) Multiply. Add. NOW TRY OBJECTIVE 4 Divide complex numbers.The quotient of two complex num- bers, such as is expressed in sta ...

Dividing Complex Numbers Write each quotient in standard form. (a) Multiply numerator and denominator by the conjugate of the de ...

Simplify. Subtract in the radicand. Factor out 2. Divide out the common factor. Separate into real and imaginary parts. x= 1  S ...