The discrimination ∆ of the equation 2x^2x+8=0 is
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The discriminant of
2×2-x+8=0
is (-1)2-4(2)(8)=-63
This tells that there are no Real roots to the given equation.
Explanation:
For a quadratic equation in the general form:
x×2+bx=c=0
the discriminant is:
b2-4ac
The discriminant is a component of the general quadratic formula for solving a quadratic equation:
x=-b±rootb'2-4ac2a
If the discriminant (
b'2-4ac
) is less than zero
then the "solution" requires
the square root of a negative value
which does not exist as any Real value,
and therefore there can be no Real solutions to the equation.
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