Question

16x³ +16x² + 3x=0
&
4x^2-9=0

Answer 1

Explanation:

For the equation 16x³ + 16x² + 3x = 0, we can factor out x:

x(16x² + 16x + 3) = 0

Using the quadratic formula, we can solve for the roots of 16x² + 16x + 3:

x = (-16 ± √(16² - 4(16)(3))) / (2(16))

x = (-16 ± √160) / 32

x = (-1 ± √10) / 4

So the solutions to the equation are x = 0 and x = (-1 ± √10) / 4.

For the equation 4x^2 - 9 = 0:

We can first add 9 to both sides:

4x^2 = 9

Then divide both sides by 4:

x^2 = 9/4

Finally, take the square root of both