SOLUTION: For what value(s) of d does the equation |x-c|=d have no real solution? For what values of d does it have two real solutions?

Algebra.Com
Question 1107558: For what value(s) of d does the equation |x-c|=d have no real solution? For what values of d does it have two real solutions?
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The absolute value of a number or expression is either 0 or positive. So there is no solution (real or otherwise) if d is negative.

There is a single solution if d is 0; and there are exactly two solutions if d is any positive number.

RELATED QUESTIONS

for what value(s) of p does the equation x^2+px+1=0 have no real solutions, and two real... (answered by Fombitz)
x^2+4x+c=0 what value of c does the equation have one real root and what range of value (answered by josgarithmetic)
How many and what type of solutions does the equation have? 5y^2 = 18y – 4 A. no real... (answered by rothauserc)
How many and what type of solutions does the equation have? –4x^2 – 2 = 10x A. no real... (answered by fractalier)
For what values of k does x^2+kx+7=0 have no real... (answered by Alan3354)
2. Calculate the discriminant to determine the number of real roots. y = x^2 + 3x + 9 (answered by MathLover1)
Q) Consider the system of linear equations x + 3y = 5 (answered by rothauserc)
For what value(s) of d does the function f(x)=dx^2-6x+d have no zeros? Thanks very... (answered by robertb,josgarithmetic)
for what value of k does the equation kt^2 + 5t +2 = 0, have exactly one real solution... (answered by stanbon)