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If f(x) = 0 is a quadratic equation in x, then the roots of f(x) are the values of x which make the equation true.

If f(x) = ax^2 + bx + c = 0

then the roots are

[-b - sqrt(b^2 - 4ac)]/(2a)] and [-b + sqrt(b^2 - 4ac)]/(2a)].


Conversely,

given the roots of f(x) = 0 are s and t then

f(x) = x^2 - (s+t)*x + st.

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9y ago
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9y ago

A quadratic equation normally has two equal roots or two different roots providing that its discriminant is equal to zero or greater than zero.

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