How do I solve this?
125x^3 + 343 = 0
Please help me!
Hints:
125x^3 + 343 = 0
(5x)³ - 7³ = 0
and
a³-b³=(a-b)(a²+ab+b²)
Thank you!
You're welcome!
To solve the equation 125x^3 + 343 = 0, we can follow these steps:
Step 1: Subtract 343 from both sides of the equation to isolate the term with x^3:
125x^3 = -343
Step 2: Divide both sides of the equation by 125 to solve for x^3:
x^3 = -343/125
Step 3: Simplify -343/125:
x^3 = -2.744
Step 4: Take the cube root of both sides to solve for x:
x = ∛(-2.744)
Using a calculator, we can find the approximate value of the cube root of -2.744 to be approximately -1.4.
Therefore, the solution to the equation 125x^3 + 343 = 0 is x ≈ -1.4.