wHY DO SOME PROBLEMS HAVE 2 ANSWERS, SUCH AS {4, -4}?

Question

These answers were in the ratio and proportions section.

Answer 1

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Answer 2

There are many types of problems that have

more than one answer...  For example a quadratic

of the form  ax²+bx+c = 0 will have two roots

for the value of x.

For an answer of {4,-4} look at this quadratic:

x²-16=0

(x-4)(x+4)=0

x = {4, -4}

 

Polynomials will have as many roots as their order ..(the

highest exponent), although not all the roots will be real

as they may have complex roots or solutions.

 

 

Answer 3

When you have more than one answer in a solution set, it is because you have many possibities of the answer.  For example, you may have to solve a word problem that involves a quadratic equation.  When you solve a quadratic equation, you will have at least 2 distinct solutions.  However, one of the solutions you need to reject due to the logic of the problem.