Question

Solve algebraically for all the values of x -2x^5+14x^4-2x^3+14x^2=0

Answer 1

Answer:

x = 0

Easy peasy! If the answer is 0 from that algebraic expression then you can automatically say that the variable x = 0 because you can't add, multiply, or divide any number outside of 0 to get 0. I hope that this helps

Answer 2

Answer:

• 0, 7, ± i

Step-by-step explanation:

Solving for x

• - 2x^5 + 14x^4 - 2x^3 + 14x^2=0
• x^5 - 7x^4 + x^3 - 7x^2 = 0
• x^2 ( x^3 - 7x^2 + x - 7) = 0
• x^2( x^2(x - 7) + (x - 7)) = 0
• x^2(x^2 + 1)(x - 7) = 0

1. x^2 = 0 ⇒ x = 0
2. x^2 + 1 = 0 ⇒ x^2 = -1 ⇒ x = ± i
3. x - 7 = 0 ⇒ x = 7