# SOLUTION: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rationa

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 Question 530124: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. x2 = -4x – 4 Two different rational solutions Exactly one rational solution Two different irrational solutions Two different imaginary solutionsAnswer by stanbon(57424)   (Show Source): You can put this solution on YOUR website!Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. x^2 = -4x – 4 --- Rearrange: x^2+4x+4 = 0 a = 1 ; b = 4 ; c = 4 --- b^2 -4ac = 16-4*1*4 = 0 --- Since the discriminant is zero there is exactly one rational solution. ====================== Cheers, stan H. ====================== Two different rational solutions Exactly one rational solution Two different irrational solutions Two different imaginary solutions