# SOLUTION: Good day to you all. Please determine the nature of the solutions to each equation without solving it. 1.) 25x^2 - 10x + 1 = 0 2.) x^2 + x +2 = 0 3.) 5x^2 - x = 0 Than

Algebra ->  Algebra  -> Test -> SOLUTION: Good day to you all. Please determine the nature of the solutions to each equation without solving it. 1.) 25x^2 - 10x + 1 = 0 2.) x^2 + x +2 = 0 3.) 5x^2 - x = 0 Than      Log On

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 Click here to see ALL problems on test Question 587200: Good day to you all. Please determine the nature of the solutions to each equation without solving it. 1.) 25x^2 - 10x + 1 = 0 2.) x^2 + x +2 = 0 3.) 5x^2 - x = 0 Thank You. Answer by josmiceli(9646)   (Show Source): You can put this solution on YOUR website!Look at where the equation has the form (1) This means there is 1 real solution It is called a double root --------------------------------- (2) This is minus, so there are 2 imaginary roots ( look like and ) ----------------------------------- (3) This is plus, so there are 2 real roots ------------------------------------- Here's plots of the 3 equations. Touching the x-axis: 1 solution Not touching at all: 2 imaginary solutions Touching twice: 2 real solutions