SOLUTION: For what values of 'c' does the equation |2x -4| = x + c have exactly two solutions?

SOLUTION: For what values of 'c' does the equation |2x -4| = x + c have exactly two solutions?

Algebra.Com

Question 1079766: For what values of 'c' does the equation |2x -4| = x + c have exactly two solutions?
Answer by ikleyn(52851) (Show Source): You can put this solution on YOUR website!
.
The answer is THIS:

      at x = 2, the value of x + c must be positive.

In other words, 2+c must be positive: 2+c > 0,

which implies c > -2.

Plot y = 2*|2x-4| (red) and y = x - 1.5 (green)

RELATED QUESTIONS
Determine for what values of c the equation, absolute value(2x-1)=x+c has exactly two... (answered by richard1234)

for what values of c does |2x+1|= x+c have two solutions? Thanks (answered by josgarithmetic,tommyt3rd)

For what value(s) of d does the equation |x-c|=d have no real solution? For what values... (answered by greenestamps)

Find the values of m for which the equation {{{x^2 + (m - 2)x+4 = 0}}} A) has exactly 2... (answered by Alan3354,ikleyn)

For what values of K does the equation have equal solutions?... (answered by josmiceli)

x^2+4x+c=0 what value of c does the equation have one real root and what range of value (answered by josgarithmetic)

Hello, this is a question from my Algebra 2 textbook: Find all values of c for which... (answered by jim_thompson5910)

For what values of c will x^2+6x+c=0 have no real... (answered by jim_thompson5910)

y= 3 y= ax^2 + b In the system of equations above, a and b are constants. For which of... (answered by josgarithmetic,solver91311)