SOLUTION: Pleas help out: if the root of the equation{{{4x^2 -8x + 3 =0}}} are A and B, form the equation whose roots are{{{(A + 1/B) and (B + 1/A)}}}
Algebra.Com
Question 978758: Pleas help out: if the root of the equation are A and B, form the equation whose roots are
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
,
So then,
and
and
where is any non-zero constant
RELATED QUESTIONS
The roots of the equation 4x^2-x+36=0 are (alpha)^2 and (beta)^2. Find:
(a) an equation (answered by josmiceli)
If the two roots of the equation: X^2+X-3=0 are M and N:
a. Form the equation that has (answered by josgarithmetic,mananth,jim_thompson5910)
Find the polynomial equation, P(x)=0, of the least possible degree, with integral... (answered by Edwin McCravy)
if tan a and tan b are the roots of equation 4x^2-7x+1=0 then evaluate... (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)
If a and b are the roots of the quadratic equation 3x^2 - 4x + 7 =0 , find:
1) a/3b +... (answered by Boreal,MathLover1,ikleyn)
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)
Which describes the number and type of roots of the equation x^2 + 121x = 0
a) 1 real... (answered by richwmiller)
If a and b; are roots of the equation {{{ ax ^ 2 + bx + c = 0 }}} , find the values of:
(answered by ikleyn)