SOLUTION: if (p+3) and (q-4) are the roots of the equation x^2=8x-15. What is the values of p and q?

Question 564109: if (p+3) and (q-4) are the roots of the equation x^2=8x-15. What is the values of p and q?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Let's write that equation in a more conventional form.
--->
If you are good at factoring you immediately realize that

which means that the equation can be written as

showing that the solutions are and .
If you do not like factoring, you would solve the equation in a different way (maybe apply the quadratic formula or complete the square).
No matter how you solve the equation, the solutions are and .
But which one is (p+3) and which one is (q-4)? No way to tell.
There will be two solution sets:
If p+3=5 and q-4=3, p=2 and q=7.
If p+3=3 and q-4=5, p=0 and q=9.
RELATED QUESTIONS
If p and q are the roots of the equation 2x^2-x-4=0. Find the equation whose roots are... (answered by Fombitz,youngguru23)

If p and q are the roots of the equation {{{2x^2-x-4=0}}} Find the equation whose... (answered by ikleyn)

Given that the equation x(x-2p)=q(x-p) has real roots for all real values of p and q. If... (answered by josgarithmetic,MathTherapy)

If 3x^2-12x+14=3(x+p)^2+q, what are the values of p and... (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(~P->Q)->(PvR)is false, what are the truth values of P,Q and... (answered by jim_thompson5910)

Show that the roots of the equation (x-p)(x-q)=2 are real and distinct for all real... (answered by Edwin McCravy,ikleyn)

If p and q are prime numbers and (4/q^3) = (p^2/50)what is the value of... (answered by Fombitz)

If p and q are roots of quadratic equation x2-px+q=0 , what is value of p and... (answered by richard1234)