Finding solutions through quadratic equations
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Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
1. Integers
2. Rational numbers
3. Irrational numbers
Please see the attached file for the fully formatted problem(s).
1. How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex?
2. Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.
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(1) Quadratic Equations
(a) With Integer coefficients:
3x^2 - 4x + 7 = 0
(b) With Rational Number coefficients
x^2 + (1/2)x + (3/4) = 0
(c) With Irrational Number coefficients
(sqrt 3)x^2 - (sqrt ...
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