SOLUTION: Explain why the equation x^2 = 4 has two real number solutions, while the equation the square root of x = 2 has only one real number solution.

Algebra.Com
Question 320030: Explain why the equation x^2 = 4 has two real number solutions, while the equation the square root of x = 2 has only one real number solution.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Explain why the equation x^2 = 4 has two real number solutions, while the equation the square root of x = 2 has only one real number solution.
--------------
Solve x^2 = 4
x^2-4 = 0
Factor:
(x-2)(x+2) = 0
x = 2 or x = -2
-----------------------
Solve sqrt(x) = 2
Square both sides to get:
x = 4
============================
Cheers,
Stan H.

RELATED QUESTIONS

Explain why the equation |x| > -1/2 has all real number solutions. (answered by ikleyn,math_tutor2020)
Determine the nature of the solutions of the equation. x^2 - 4x + 6 = 0 The... (answered by stanbon)
Explain why x to the 4th+2xsquared+4 has no real root while every polynomial function of... (answered by Fermat,venugopalramana)
Determine whether the equation has two distinct real number solutions, one real numbers... (answered by checkley77,solver91311)
Determine whether the equation has two distinct real number solutions, one real numbers... (answered by dabanfield)
Determine whether the equation has two distinct real number solutions, one real numbers... (answered by checkley77)
Solve the equation by completing the square. The equation has real number solutions.... (answered by stanbon,jorel1380)
explain why the square root of -25 has no real solutions. (answered by tommyt3rd)
tell if the equation has two solutions, one solution, or no real solution:... (answered by Charles3475)