SOLUTION: How would I solve: Find the values for p for which the equation; (p+3)x^2-12x+2p=0 has equal roots. Thanks.

SOLUTION: How would I solve: Find the values for p for which the equation; (p+3)x^2-12x+2p=0 has equal roots. Thanks.

Algebra.Com

Question 805355: How would I solve:
Find the values for p for which the equation;
(p+3)x^2-12x+2p=0
has equal roots.
Thanks.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

In any quadratic equation if the roots are equal then in the equation
compare the two equations
a=(p+3), b=-12, c=2p

(-12)^2-4(p+3)(2p)=0
144-8p^2-24p=0
Or
8p^2+24p-144=0
/8

p(p+6)-3(p+6)=0
(p+6)(p-3)=0
p=-6 OR 3

RELATED QUESTIONS
Find the value of p for which the equation (1-2p)x^2 + 8px - (2+8p) = 0 has two equal... (answered by robertb,MathTherapy)

The cubic equation x^3-12x^2+ax-48=0 has roots p,2p and 3p. Find the value of p. (answered by ikleyn)

Find the range of values of p for which 4x^2+12x+15=p(4x+5) has real... (answered by Fombitz)

Hello could you pls help Find the values of p for which the equation {{{... (answered by robertb)

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)

find the values of p for which (7p+1)x^2+(5p-1)x+p=1 has equal roots... thank... (answered by MathLover1)

For what value(s) of 'p' would the equation px^2 + (2p+1)x+p=0 have two non-real roots? I (answered by jim_thompson5910)

For this problem: All the roots of x^2 + px + q = 0 are real, where p and q are real... (answered by Edwin McCravy)

determine the set of values of p for which {{{5x^2-7x+p=0}}} has real and distinct... (answered by mouk)