What are the solutions to the equation?
x^3 – 6x^2 – 9x + 54 = 0

x = 6 or x = 3 or x = -3

Step-by-step explanation:

Solve for x over the real numbers:

x^3 - 6 x^2 - 9 x + 54 = 0

Hint: | Factor the left hand side.

The left hand side factors into a product with three terms:

(x - 6) (x - 3) (x + 3) = 0

Hint: | Find the roots of each term in the product separately.

Split into three equations:

x - 6 = 0 or x - 3 = 0 or x + 3 = 0

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

x = 6 or x - 3 = 0 or x + 3 = 0

Hint: | Look at the second equation: Solve for x.

Add 3 to both sides:

x = 6 or x = 3 or x + 3 = 0

Hint: | Look at the third equation: Solve for x.

Subtract 3 from both sides:

x = 6 or x = 3 or x = -3

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: