Page 64 - Math Course 3 (Book 1)
P. 64

The Quadratic Formula





         Your Turn!


        Use the Quadratic Formula to Solve a Problem

         SPACE TRAVEL
         The gravitational acceleration on Venus is about
         8.9 meters per second squared, and on Callisto,
         one of Jupiter’s moons, it is 1.2 meters per second
         squared. Suppose a baseball is thrown on Callisto
         with an upward velocity of 10 meters per second
         from two meters above the ground.

         Find how much longer the ball will stay in air than a
         similarly-thrown ball on Venus. Use the equation
                1
                    2
          H = –       gt  + vt + h  where H is the height of an


                2
         object t seconds after it is thrown upward, v is the
         initial velocity, g is the gravitational pull, and h is the
         initial height.
         A. about 10 seconds
         B. about 25.2 seconds
         C. about 12.5 seconds
         D. about 14.5 seconds


           Answer





        Use the Discriminant

         State the value of the discriminant for the equation   State the value of the discriminant for the equation
         x  + 2x + 2 = 0. Then determine the number of real   –5x  + 10x = –1. Then determine the number of real
          2
                                                              2
         roots for the equation.                           roots for the equation.
         A. –4; no real roots                              A. –120; no real roots
         B. 4; 2 real roots                                B. 120; 2 real roots
         C. 0; 1 real root                                 C. 0; 1 real root
         D. cannot be determined                           D. cannot be determined


           Answer                                            Answer






















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