Given the equation 2x2 - 5x + 7 = 0. What is the discriminant?
Describe the roots and explain your reasoning.
(b^2-4ac)= (25-4(2)(7) ) = (25-56) = (-31)
There will be two imaginary roots due to the NEGATIVE discriminant
(b^2-4ac)= (25-4(2)(7) ) = (25-56) = (-31)
There will be two imaginary roots due to the NEGATIVE discriminant
The discriminant formula is \(b^2-4ac\) . Substituting...
\((-5)^2-4(7)(2)=25-56=-31\). The discriminant is -31.
Since the discriminant is negative, it has complex roots.
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