# algebra II

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How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmateâ€™s with one or two solutions with which they must create a quadratic equation.

• algebra II -

It will depend on the value of b^2-4ac, the part under the square root sign, often called D for discriminant
If D > 0 --- 2 real roots
if D=0 ---- 1 real root
if D< 0 --- 2 imaginary or complex roots

• algebra II -

x=2 or x=3

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