SOLUTION: Hi. I'm not sure what type of problem this is but if you can help me I would be grateful. Problem: {{{3x^2-9x+5<0}}}. My question is can I solve this problem using the Quadratic Fo

Question 18978: Hi. I'm not sure what type of problem this is but if you can help me I would be grateful. Problem: . My question is can I solve this problem using the Quadratic Formula?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Problem: . My question is can I solve this problem using the Quadratic Formula?
YES...let me explain the procedure ..from your question it looks you know the quadratic formula and how to use it to get the 2 values of x which we call roots or solutions for x ...say x=p and x=q are the 2 values .they could be any real numbers like integers 2,5 etc or fractions like 2/3,5/8 etc...or irrational numbers like 2+sqrt3 and 2-sqrt3 (note that the irrational roots occur in conjugate pairs if the original eqn. is with rational coefficients)...
again for simplicity let us call the quadratic as y(y= )
now what we have is that x=p or q for y=0..so we can write
y=(x-p)(x-q)=0...but we want y<0..that is negative..it will happen if x is between p and q since in that case if x-p is +ve then x-q will be -ve and viceversa...so the answer is x should be between p and q
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