- #1
nysnacc
- 184
- 3
Homework Statement
Homework Equations
character equation
The Attempt at a Solution
Should I set a = ax2 b= bx c =c in the character equation?
You can't solve the above, because they aren't equations!nysnacc said:Then (I simply say r instead of r1)
a(r2-r)xr +b r xr + cxr
xr ( a(r2-r) + b r +c )
And solve for r ?
But you have a relationship involving a, b, and c given in your problem statement.nysnacc said:Oh yeah! but I don't know a, b and c... there are four unknowns then
No it isn't.nysnacc said:So I solve for r which is r = ... (in terms of a, b, c) probably be -b +/- sqrt (b^2 - 4 ac) / 2a
nysnacc said:Then use the relationship involving a, b, and c given in problem statement?
But do I need one more equation?
Yes, this is what I get: r = -(b - a)/(2a), which is the same as (a - b)/(2a)nysnacc said:For r1, it is -B/2A which is -(b-a)/2a
Do I end up wth the letter as coefficient, or any further?
Yes.nysnacc said:Great, so this is it, for r1 ?? :)
"Suppose a, b, c are three real numbers such that" is a phrase commonly used in mathematical equations to indicate that the given variables have a specific relationship or condition that must be satisfied within the equation.
The possible relationships between a, b, and c can vary depending on the context of the equation. Some common relationships include a is equal to b, a is less than b, a is greater than b, a is equal to the sum of b and c, and a is equal to the product of b and c.
No, in this phrase, a, b, and c are specifically identified as real numbers. This means that they are all numbers that can be represented on a number line and include both positive and negative numbers, as well as fractions and decimals.
The purpose of using this phrase is to establish a specific relationship or condition between the given variables a, b, and c. This helps to clarify the parameters of the equation and provides a starting point for solving the equation.
There may be restrictions on the values of a, b, and c depending on the context of the equation. For example, if the equation involves square roots, then a, b, and c must be non-negative numbers. It is important to carefully consider any restrictions when using this phrase in a mathematical equation.