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Real Solutions for Quadratic Equations

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Please give all values of b in the following equations that will give one or more real number solutions?

a) 3x^2 + bx - 3 = 0

b) 5x^2 + bx + 1 = 0

c) -3x^2 + bx - 3 = 0

d) Write a rule for judging if an equation has solutions by looking at it in standard form.

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Solution Summary

Values are found that allow for the formulation of real solutions from quadratic equations.

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First I will answer the question d)
The rule to know whether the equation ax^2 + bx + c= 0 to have real solutions is that the 'discriminant' b^2-4ac is non negative. In particular, if the discriminant is positive, there will be two different real roots and if the ...

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