Please show how you did it, and why it did not work.vijayramakrishnan said:Homework Statement
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Th value of 'a' for which the equation x3+ax+1=0 and x4+ax+1=0 have a common root is?Homework Equations
The Attempt at a Solution
i initially thought of subtracting both the equations and then finding x and substituting back in the equation but it did not work.
Samy_A said:Please show how you did it, and why it did not work.
What you write seems to be the way to go.
thank you for replying sirSamy_A said:Please show how you did it, and why it did not work.
What you write seems to be the way to go.
a = -2 : looks correct to me.vijayramakrishnan said:thank you for replying sir
subtracting we get x4-x3=0
x can be 1 or 0.
substituting back in the equation we get a = -2
but answer given is -1.
than you sir for replyingSamy_A said:a = -2 : looks correct to me.
No need to apologize: when a given answer looks wrong (something that can happen), the best you can do is ask to see if others agree.vijayramakrishnan said:than you sir for replying
then answer must be wrong,sorry for wasting your time
yes sir thank you very muchSamy_A said:No need to apologize: when a given answer looks wrong (something that can happen), the best you can do is ask to see if others agree.
A polynomial is a mathematical expression consisting of variables and coefficients, combined using operations such as addition, subtraction, multiplication, and exponentiation. It can have one or more terms, with each term containing a variable raised to a non-negative integer power.
The degree of a polynomial is the highest exponent of the variable in the expression. For example, in the polynomial 3x^2 + 5x + 2, the degree is 2.
To solve a problem from polynomials, you can use various techniques such as factoring, the quadratic formula, or the remainder theorem. The specific method will depend on the type of problem and the level of complexity.
Polynomials have many real-life applications, including in physics, engineering, and economics. They are used to model and analyze various phenomena, such as motion, growth, and optimization problems.
Yes, polynomials can have imaginary or complex roots. This means that the solutions to the polynomial equation may involve complex numbers, which have both a real and imaginary part. In some cases, the polynomial can be factored into linear and quadratic factors that can then be solved using the quadratic formula.