Question

Which statement about the quadratic equation below is true?

-1.5x2 +54 = 0
A The equation has X = 6 as its only solution.
B The equation has no real solutions.
C The equation has an infinite number of solutions.
D The equation has x = 6 and x = -6 as its only solutions.

Answer 1

x = ± 6

Explanation:

1: Subtract both sides by -54

`-1.5x^2=-54`

2: Divide both sides by -1.5

`x^2=36`

3: Take both sides to the 1/2 power

`x= 6, -6`