What is the value of x ?
(1) x^3 = 6x − x^2
(2) 14x = x^3 + 5x^2
Is statement 1 sufficient?
OA E
(1) x^3 = 6x − x^2
(2) 14x = x^3 + 5x^2
Is statement 1 sufficient?
OA E
Statement 1:lheiannie07 wrote:What is the value of x ?
(1) x^3 = 6x − x^2
(2) 14x = x^3 + 5x^2
x³ + x² - 6x = 0
x(x² + x - 6) = 0
x(x+3)(x-2) = 0.
Options for x:
0, -3, 2.
Since x can be different values, INSUFFICIENT.
Statement 2:
0 = x³ + 5x² - 14x
0 = x(x² + 5x - 14)
0 = x(x+7)(x-2)
Options for x:
0, -7, 2.
Since x can be different values, INSUFFICIENT.
Statements combined:
Both statements are satisfied by x=0 and x=2.
Since x can be different values, INSUFFICIENT.
The correct answer is E.
