SOLUTION: Find the value(s) of k that makes x^2 + (k+5)x + (5k+1) a perfect square trinomial.

Question 987707: Find the value(s) of k that makes x^2 + (k+5)x + (5k+1) a perfect square trinomial.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!







Subtract x� from both sides:



Equate the coefficients of x on each side



Equate the constant terms on each side:



So we have this system of two equations in two unknowns:



Solve the first equation for k

k = 2A-5

Substitute in the second:

5(2A-5)+1 = A�

10A - 25 + 1 = A�

0 = A� - 10A + 24

0 = (A - 6)(A - 4)

A - 6 = 0;  A - 4 = 0
    A = 6;      A = 4

k = 2A-5;     k = 2A-5
k = 2(6)-5;   k = 2(4)-5
k = 12-5;     k = 8-5
k = 3         k = 7

Edwin

RELATED QUESTIONS
5.Find the value of "c" that makes trinomial a perfect square: x^2-8x+c (answered by richwmiller)

given that y^2+10y+k is a perfect square trinomial, find the value of... (answered by josgarithmetic,MathLover1)

s^2-6s+k Find the value of k, so it's a perfect square trinomial, then factor the... (answered by solver91311)

Find for each trinomial the value of k which makes the trinomial a perfact square.... (answered by fractalier)

Find for each trinomial the value of k which makes the trinomial a perfect square. y2... (answered by fractalier)

Find the value of "c" that makes the trinomial a perfect square:... (answered by ilana)

Find the value of "c" that makes the trinomial a perfect square:... (answered by josmiceli)

Find the value of c that makes x^2+5x+c a perfect square trinomial.... (answered by venugopalramana)

find the value of c that makes each trinomial a perfect square: x^2-21x+c. (answered by ankor@dixie-net.com)