<span>-16x^3+4x=0
-4x(4x^2 - 1) = 0
-4x(2x+1)(2x - 1) = 0 (factor using a^2 - b^2 = (a+b)(a-b))
-4x = 0; x =0
2x +1 = 0;x = -1/2
2x - 1 =0; x = 1/2
answer: x = 0, x = 1/2 and x = -1/2</span>
Answer: x= 0 or x= 1
Step by step:
Step 1: Factor left side of equation.
= 8x (x – 1) = 0
Step 2: Set factors equal to 0.
= 8x = 0 , x = -1 = 0
= x = 0 , x = –1
Answer:
2.58 seconds
Step-by-step explanation:
When you complete the square, you get ...
h = -16(t -9/16)^2 +60 +81/16
Then the solution for h=0 is ...
t = (x -9/16)^2 = 1041/256
t = (9 +√1041)/16 ≈ 2.57903 ≈ 2.58
It takes about 2.58 seconds for the ball to hit the ground.