SOLUTION: 1) If alfa,beta are real and alfa square,-beta square are the roots of the equation a2x2+x+(1-a2)=0,a>1,then beta square=_________ 2)If (1-p) is aroot of a qadratic equation x2+

Algebra.Com
Question 981552: 1) If alfa,beta are real and alfa square,-beta square are the roots of the equation a2x2+x+(1-a2)=0,a>1,then beta square=_________
2)If (1-p) is aroot of a qadratic equation x2+px+(1-p)=0,then its roots are______

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
This response deals with your second question.
If 1-p is a root, then you must be asking what is the other root for .

More than one way to go, but,
, using general formula for solution to a quadratic equation.



----------these would be the roots!

You were expecting that 1-p is one of the roots. Check if it really is a root.



------Not true, because this depends on the value of p.

Your question or description for your exercise 2 is faulty.

RELATED QUESTIONS

the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of alpha square -beta... (answered by MathLover1)
If the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of alpha square + beta... (answered by KMST)
the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of [alpha square +1÷beta... (answered by ikleyn)
If the roots of the quadratic equation {{{2x^2 + x +6 = 0}}} are {{{alpha}}} and... (answered by robertb)
The roots of the equation 4x^2-x+36=0 are (alpha)^2 and (beta)^2. Find: (a) an equation (answered by josmiceli)
Roots of ax^2+bx+c=0 are alpha and beta then find... (answered by richard1234)
If the roots of the equation ax^2 + bx + c is equals to zero are alpha and beta find the... (answered by mananth)
if alpha,beta,gamma,and delta(symbols) are the roots of x^4-2x^3+4x^2+6x-21=0 if alpha +... (answered by ikleyn)