SOLUTION: Prove (algebraically, not numerically) that the product of the solutions of is ax^2+bx+c=0 is c/a
Algebra.Com
Question 185172: Prove (algebraically, not numerically) that the product of the solutions of is ax^2+bx+c=0 is c/a
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First, the solutions to the general form of the quadratic equation:
are:
and so we need to find the product of these solutions.
Simplifying this, we get:
RELATED QUESTIONS
prove that if the sum of the sequence of the roots of the equation ax^2+bx+c=0 is 1 then... (answered by math_tutor2020)
prove that if the sum of the sequence of the roots of the equation ax^2+bx+c=0 is 1 then... (answered by ikleyn)
Show that the real solutions of the equation ax^2 + bx + c = 0 are the reciprocals of the (answered by math_tutor2020)
Graph f(x)= ax^2+bx+c
A) state the number of real number solutions of ax^2+bx+c=0... (answered by josgarithmetic)
Show that the real solutions of the equation ax^2 + bx + c = 0 are the reciprocals of the (answered by math_tutor2020)
Prove that the roots of quadratic equation i.e ax2+bx+c=0 numerically equals but opposite (answered by advanced_Learner)
For the general quadratic equation ax^2+bx+c, the product of the roots is c/a.
true or... (answered by ikleyn)
what are the product of the roots of the equation ax^2+bx+c=0. im not sure how this is... (answered by josmiceli)
Prove that if one root of the equation ax^2-bx+c=0 is twice the other then... (answered by josgarithmetic)