whata the correct anwser for x^6 - 25x^4=0
Ps. this is polynomial factoring ...
x^4(x^2-25) = 0
x^4(x-5)(x+5) = 0
got it?
ahh iGot The Same thing But ithought i was wrong !
thank you though!
To find the correct answer for the equation x^6 - 25x^4 = 0, we need to factor out the equation. Here's how you can do it:
Step 1: Recognize the common factor
In this equation, we can see that both terms have x^4 as a common factor. So we can factor it out:
x^4 (x^2 - 25) = 0
Step 2: Factor the quadratic term
The expression x^2 - 25 is a difference of squares, which can be factored as follows:
x^2 - 25 = (x - 5)(x + 5)
Step 3: Write the factored form of the equation
By substituting the factored quadratic term, we get:
x^4 (x - 5)(x + 5) = 0
Now we have the equation fully factored.
Step 4: Find the solutions
To find the solutions, we set each factor equal to zero and solve for x:
x^4 = 0 --> x = 0
(x - 5) = 0 --> x = 5
(x + 5) = 0 --> x = -5
So, the correct answers for the equation x^6 - 25x^4 = 0 are x = 0, x = 5, and x = -5.
Remember, factoring is a fundamental step in polynomial solving, especially when we need to find the roots or solutions of an equation.