SOLUTION: we are in need for some answers to these problems, find the value of the discriminant and determine the number of solutions for each equation. 1. 4x2+3x+1=0 2. x2+2x-6=0 3. x2

Question 2146: we are in need for some answers to these problems, find the value of the discriminant and determine the number of solutions for each equation.
1. 4x2+3x+1=0
2. x2+2x-6=0
3. x2-5x+1=0
4. x2-4x+4=0
Please solve and let me know as soon as possible
thanks
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
the discriminant is the b^2-4ac bit of the quadratic formula. This number can be +ve, zero or -ve. Each of these three possibilities gives you an answer to the number of solutions, since:
has 2 answers...+3 and -3, so the formula gives you 2 answers.
has 1 answer... 0, so the formula gives you 1 answer.
has no answer as far as you are concerned, so the formula gives you no answer.
so for each of your equations, work out if b^2-4ac is +ve, zero or -ve and this tells you how many solutions there are.
jon

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