SOLUTION: Calculate the range of values of x for which x^2=4x-5>5x-3 Can you tell me why must the graph be above the x axis?

Algebra ->  Inequalities -> SOLUTION: Calculate the range of values of x for which x^2=4x-5>5x-3 Can you tell me why must the graph be above the x axis?      Log On


   

Question 966924: Calculate the range of values of x for which x^2=4x-5>5x-3
Can you tell me why must the graph be above the x axis?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x^2=4x-5>5x-3

The equality symbol must be mistake for the PLUS symbol.

x%5E2%2B4x-5%3E5x-3
x%5E2%2B4x-5-5x%2B3%3E0
x%5E2-x-2%3E0

If the left member is for a function, this is a parabola with a minimum vertex, opening UPWARD.
The solutions for the inequality will need to be x values so that the quadratic expression is
POSITIVE, according to the GREATER THAN ZERO statement. This means, ABOVE THE x AXIS.


%28x-2%29%28x%2B1%29%3E0
Roots or "zeros" of the function are 2 and -1. Between the roots, the expression is negative.
Outside the domain of the quadratic expression, the expression is positive.


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The symbol, numberA%3EnumberB, between numberA and numberB, means "is greater than". This meaning is according to convention.