Solution,
Let P = ( x, -x + 6) = (x, 6 - x)
We want to solve this
( Distance from P to (0,0) )^2 = (Distance from P to (10, -10) )^2
x^2 + (6 - x)^2 = [ ( x - 10)^2 + ( 6 - x + 10)^2
x^2 + x^2 - 12x + 36 = x^2 - 20x + 100 + x^2 - 32x + 256 simplify
-12x + 36 = -52x + 356
40x = 320
x = 8
And y = -(8) + 6 = -2
So...P = ( 8, -2)
In mathematics, an equation is an equation that expresses two equations by joining them with an equal sign =. Equations in other languages and the word their relatives can have slightly different meanings; for example, in French, an equation is defined as containing one or more variables, but in English, it is an equal sign.
A well-formed expression consisting of two combined equations is an equation, and a variable makes the equation true. The variable for which the equation must be solved is also called the unknown, and the value of the unknown that satisfies the equation is called the solution of the equation. There are two types of equations: identities and constraint equations. The ID applies to all values of the variable. Constraint equations apply only to specific values of variables
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Answer:
Descarte's rule says that the polynomial will have the number of zeroes equal to the number of times the sign off the coefficient changes.
For positive real roots:
The coefficient of polynomial is:
+9 -4 +10
There is 2 time sign in changing in 1st and 2nd term and then in 2nd and 3rd term.
So,there will be 2 positive real roots or less but even.
For negative real roots find P(-x)
So, coefficient of above polynomial is:
-9 +4 -10
There is 2 time sign in changing in 1st and 2nd term and then in 2nd and 3rd term.
So,there will be 2 negative real roots or less but even.
Answer:
(C) x=3 is the correct answer.
