SOLUTION: Given that the equation px^2 + 3px + p + q = 0,where p is not = 0, has two equal real roots,find q in terms of p
Algebra.Com
Question 1184307: Given that the equation px^2 + 3px + p + q = 0,where p is not = 0, has two equal real roots,find q in terms of p
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Given that the equation ,where , has two equal real roots, find in terms of .
the equation has two equal real roots if discriminant is equal to zero
in your case , , and
...factor
solutions:
-> exclude because gien that
=>=>=>
.......substitute
.....both sides multiply by
check if discriminant is equal to zero:
=>true
RELATED QUESTIONS
Given that the equation px^2 + 3px + p + q = 0,where p is not = 0, has two equal real... (answered by MathLover1,robertb)
Please help me answer thrse questions:
1.It is given that -2 is one of the roots of... (answered by shree840)
All the roots of
x^2 + px + q = 0 are real, where p and q are real numbers. Prove that... (answered by ikleyn)
The equation x²+ px +4 = 0, where p and q are constants, has roots -1 and 4. a) Find the (answered by greenestamps,MathLover1,ikleyn)
px^2+2qx+4=0,where p and q are constant,has equal roots.express q in term of... (answered by Gogonati)
For this problem: All the roots of
x^2 + px + q = 0 are real, where p and q are real... (answered by Edwin McCravy,AnlytcPhil,Plocharczyk,mccravyedwin)
For this problem: All the roots of
x^2 + px + q = 0 are real, where p and q are real... (answered by Edwin McCravy)
If p and q are the roots of x^2+PX+q=0. Find p and... (answered by josgarithmetic,ikleyn)
If the quadratic equation p^2x^2 + 4qx + 25 = 0 has real and equal roots such that p>0... (answered by josgarithmetic)