Register
U10 (e) Solve the equation 2x4 + 5x3 – 5x – 2 = 0​
72.5k views
16 votes
U10 (e) Solve the equation 2x4 + 5x3 – 5x – 2 = 0​

User Nataliia
by
7.8k points

1 Answer

6 votes

Answer:

x₁=1; x₂=-1; x₃=-0.5; x₄=-2.

Explanation:


2x^4+5x^3-5x-2=0; \ < = > \ 2(x^4-1)+5x(x^2-1)=0; \ < = > \ 2(x^2+1)(x^2-1)+5x(x^2-1)=0; \ < = >


(x^2-1)(2x^2+2+5x)=0; \ < = > \ (x^2-1)(2x^2+5x+2)=0; \ = >


= > \ \left[\begin{array}{ccc}x=1\\x=-1\\x=-(1)/(2) \\x=-2\end{array}

User Sebo
by
8.9k points
← Prev Question Next Question →

Related questions

User Tyrelle
asked Oct 17, 2022 196k views
If an arithmetic progression satisfies U4=7 , U8=15 .Find U10​
Tyrelle asked Oct 17, 2022
by Tyrelle
7.5k points
1 answer
4 votes
196k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
Link Copied!