What is the solution?

Question

What is the solution of 5 = 17x² - 200x ?

(A) 1 real number

(B) 2 complex numbers that are conjugates

(C) 2 real unequal numbers

(D) ∅

(E) None of the above

Is the correct answer, (E) None of the above ?

Answer 1

Write the equation in the standard form for a quadratic equation, and examine the sign of the discriminant.

5 = 17x² - 200x

17x² - 200x - 5 = 0

D = b² - 4ac = (-200)² - 4(17)(-5) > 0

D is positive, so you have 2 different real solutions.