SOLUTION: If a, b, c are in arithmetic sequence then find roots of equation:
{{{ ax^2 -2bx + c = 0 }}}?
Algebra.Com
Question 1184300: If a, b, c are in arithmetic sequence then find roots of equation:
?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Since , and are in
=>
Given, quadratic equation,
.................substitute
roots:
, or
​
RELATED QUESTIONS
(a) Prove that if the roots of
x^3 + ax^2 + bx + c = 0 form an arithmetic sequence, then (answered by Edwin McCravy)
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)
If a and b; are roots of the equation {{{ ax ^ 2 + bx + c = 0 }}} , find the values of:
(answered by ikleyn)
If the roots of a quadratic equation are -4 and 1, write the equation in... (answered by solver91311)
If both the roots of the quadratic equatin ax^2+bx+c=0 are infinite,then a=b=0 and
c... (answered by ikleyn)
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)
Given that ½ and -3 are the roots of the equation ax²+bx+c=0. Find a,b and... (answered by Alan3354,stanbon)
Ley a>0,b>0 & c>0.Then both roots of the equation ax^2+bx+c=0
(A) are real & negative... (answered by ikleyn)