True or false? The equation $(7 x-4)^{2}=-39$ has two real solutions. If false, give the correct number of real solutions.
A) False; three
B) False; zero
C) False; one
D) True

Question

Quizplus · Accepted Answer

The equation $(7x-4)^2 = -39$ cannot have real solutions because the square of a real number (in this case, $(7x-4)^2$) cannot be negative. Squaring a real number always results in a non-negative number, so there are zero real solutions to this equation.

True or False? the Equation (7x−4)2=−39(7 x-4)^{2}=-39(7x−4)2=−39 Has Two Real Solutions

True or False? the Equation $(7 x-4)^{2}=-39$ Has Two Real Solutions