give a counter example to show that each statement is false, the domain of each variable is the set of real numbers..... number 1 said
1. if a2=b2, then a=b
idk how yo do it??
Let a = 2 and b = 3
Since they are different numbers, the statement a = b is already false because 2 cannot equal 3. Same thing with a^2 = b^2 because a and b are different numbers.
what is
1.59x+4.23=3.56x+2.12
To find a counterexample to show that the statement "if a^2 = b^2, then a = b" is false, we need to find specific values for "a" and "b" that satisfy the equation a^2 = b^2 but do not satisfy the condition a = b.
Let's consider the numbers a = 2 and b = -2. Plugging these values into the equation, we get:
a^2 = 2^2 = 4
b^2 = (-2)^2 = 4
Both a^2 and b^2 equal 4, but a and b are not equal (2 ≠ -2). Therefore, we have found a counterexample that shows the statement is false.
To find such a counterexample, you may start by assuming a value for either "a" or "b" and then solve for the other variable. In this case, we chose values that are different but yield the same result when squared.