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Quadratic equations

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1. Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work.

F(x) = 7x^2 - 28x + 28

2. Use the discriminate to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. Show your work.

9 - 2a^2 = 6a + 2

3. Complete the square. Then write the trinomial square in factored form. Show your work

x^2+2/3 x

4. Write a quadratic equation having the given numbers as solutions.

3, -8

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Solution Summary

Quadratic equations are presented. The expert completes the square to find the solution.

Solution Preview

1. Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work.

The x-intercepts can be found by equation F(x) to zero ...

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