Answer to Question #103702 in Algebra for Sourav mondal

Question #103702

Use the Cauchy-Schwarz inequality to solve x³-25x²- 4x+ 100= 0 if we know that all its roots are rational.

Expert's answer

"x^{3}-25x^{2}-4x+100=0" then "x^{2}(x-25)-4(x-25)=0" then "(x^{2}-4)(x-25)=0" hence "x_1=2,x_2=-2,x_3=25"

Learn more about our help with Assignments: Algebra Elementary Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Use the Cauchy-Schwarz inequality to solve x³-25x²-4x+100=0, if we know that all its roots are r
2. For any z∈C, if |z| , then ∈R z∈ R . Is it true or false ? Give reasons.
3. A biquadratic equation must have at least one real root. Is it true or false? give reasons.
4. Find the value of a for which the polynomial x^5 - ax^2 - ax +1 has −1 as a root with multiplici
5. Find the roots of 2x^4 + 9x^3 -9x^2 - 46x +24 by Ferrari’s method.
6. Nina read 2/16 of her book Wuthering Heights. Her brother Juan had read 4/48 of his book, a tale of
7. What is the SI unit for measuring distance