SOLUTION: Determine whether the equation has two distinct real number solutions, one real numbers solution, or no real number solution.
x^2 - 8x + 16 = 0
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Question 247384: Determine whether the equation has two distinct real number solutions, one real numbers solution, or no real number solution.
x^2 - 8x + 16 = 0
Found 2 solutions by checkley77, solver91311:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
x^2 - 8x + 16 = 0
(x-4)^2=0
x-4=0
x=4 ans.
One real number solution.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Compute the discriminant. The discriminant is the part of the quadratic formula  )
, that is under the radical, namely 
Two real and unequal roots. If 
is a perfect square, then the roots are rational numbers, otherwise the roots are irrational.
One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors.
No real solutions. Rather you have a conjugate pair of complex roots of the form 
where 
is the imaginary number defined by 
John
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