SOLUTION: Solve for x: x^2 + 7x + 4 = 0. If the solutions are complex numbers, then give your solutions in the usual a + bi form. Solve for x: x^2 - 6x + 9 = 0. If the solution

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Question 65886: Solve for x: x^2 + 7x + 4 = 0. If the solutions are complex numbers, then give your solutions in the usual a + bi form.
Solve for x: x^2 - 6x + 9 = 0. If the solutions are complex numbers, then give your solutions in the usual a + bi form.
Solve for x: x^2 + 4x + 7 = 0. If the solutions are complex numbers, then give your solutions in the usual a + bi form.
The vertex form of a quadratic function is 3(x - 7)^2 - 4. Find the usual y = ax^2 + bx + c form of the quadratic.
Find the vertex of the parabola y = 3(x+1)^2 - 4. Give your answer by filling in the blanks in the following sentence, where the first blank is the coordinates of the vertex, and the second blank is either the word "highest" or the word "lowest".
The vertex is ______ , and this point is the _________ point on the parabola.
Use the Completing the Square method to find the vertex form of the quadratic function y = x^2 + 7x + 12.
Use the Completing the Square method to find the vertex form of the quadratic function y = 2x^ 2 + 8x + 18.

s(t)=-16t^2+vot+so
In this question, use the information above. You may also use your calculator on this question.
We throw a rock into the air with initial velocity of 50 ft/sec, and initial position of 6 ft. Find how high the rock goes before coming back down. To answer this question, fill in the blanks in the following sentence, where the first blank gives this height, and the second blank gives how many seconds into the flight of the rock it reaches this maximum height.
The rock reaches its highest position of _______ feet above the ground after _______ seconds of flight

A farmer has 500 feet of fencing to use to make a rectangular garden. One side of the garden will be a barn, which requires no fencing. How should the pen be built in order to enclose the largest amount of area possible?
Give your answer by filling in the blanks in the following sentence: The farmer should build the pen ______ feet away from the barn, and ________ feet wide, for an area of _______ square feet

Find the x value or values at which the parabola y = x^2 + 4x + 5 crosses the x-axis. If the parabola does not cross the x-axis, write "It does not cross the x-axis".
Find the x value or values at which the parabola y = x^2 + 5x + 4 crosses the x-axis. If the parabola does not cross the x-axis, write "It does not cross the x-axis".
Give the usual ax^2 + bx + c form of the quadratic function which has a = 1, and has two zeros z = -5 and z = 3
Give the usual ax^2 + bx + c form of the quadratic function which has a = 1, and has two zeros z = 3 + 2i and z' = 3 - 2i.






Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
That's too much to post.  I'll do only the third one

Solve for x: x^2 + 4x + 7 = 0. If the solutions 
are complex numbers, then give your solutions in
the usual a + bi form. 

                    x² + 4x + 7 = 0

Use the quadratic formula:
                  ______ 
            -b ± Öb²-4ac
        x = —————————————
                2a 

where a = 1; b = 4; c = 7

                     ____________ 
             -(4) ± Ö(4)²-4(1)(7)
        x = ———————————————————————
                     2(1) 
                   _____ 
             -4 ± Ö16-28
        x = —————————————
                 2

                   ___ 
             -4 ± Ö-12
        x = ———————————
                 2

                    __ 
             -4 ± iÖ12
        x = ——————————
                2 

                    ___ 
             -4 ± iÖ4·3
        x = ———————————
                 2 

                     _
             -4 ± 2iÖ3
        x = —————————
                2

                       _
             -4     2iÖ3
        x = ———— ± ——————
              2      2
                  _
        x = -2 ± Ö3 i 
                               
Edwin
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