SOLUTION: A quadratic equation has roots {{{a}}} and {{{b}}}.
If {{{a+b=6}}} and {{{a-b=4}}}, find an expression for the equation in the form {{{ax^2+bx+c}}}.
Algebra.Com
Question 1146313: A quadratic equation has roots and .
If and , find an expression for the equation in the form .
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
A quadratic equation has roots and .
If and , find an expression for the equation in the form .
-------------
I like this formulation better:
A quadratic equation has roots and .
If and , find an expression for the equation in the form . Note that A,B, and C are not the same as a,b
----
a+b = 6, a-b = 4 tells you a=5, b=1
Thus, (x-5)(x-1) = is the quadratic (A=1, B=-6, C=5, in agreement with Viete's Theorem)
RELATED QUESTIONS
Find a quadratic equation in the form ax^2 + bx + c = 0, where a, b and c are integers... (answered by ankor@dixie-net.com)
Write a quadratic equation with the roots + or - radical5/4. write equation in the form... (answered by richard1234)
Write a quadratic equation with -3/4 and 4 as its roots. write the equation in form... (answered by Fombitz)
If the roots of a quadratic equation are -4 and 1, write the equation in... (answered by solver91311)
if the roots of a quadratic equation are (-2+sqrt 6) and (-2-sqrt 6), what is the... (answered by solver91311,fcabanski,Onmyoji.S)
what does the a, b, and c mean in the quadratic equation... (answered by usyim88hk)
If one root of a quadratic equation is 3 and the product of the roots is 15, what is the... (answered by ankor@dixie-net.com)
My worksheet syas: Write a quadratic equation with -3/4 and 4 as its roots. Write the... (answered by scott8148)
write a quadratic equation with -3/4 and 4 as its roots, write the equation in form... (answered by Jk22)