Answer:
see attached
Step-by-step explanation:
That things are the same when they're both the same as something else is the "transitive property." It applies to many things, from interchangeable parts to math expressions to geometrical objects, as here.
When there are 3 given statements, and two of them are shown as such, it isn't hard to determine what the third one is.
The remaining blanks can be filled by the process of elimination.
-x^2+7x-3=0 multiply the expression by -1
x^2-7x+3=0 we will complete the square so subtract 3 from both sides
x^2-7x=-3 now halve the linear coefficient, -7/2, square it 49/4, and add that to both sides...
x^2-7x+49/4=49/4-3 now the left side is a perfect square...
(x-7/2)^2=(49-12)/3
(x-7/2)^2=37/3 take the square root of both sides...
x-7/2=±√(37/3) now add 7/2 to both sides...
x=7/2±√(37/3)
4b = 5b - 3a # Starting equation, solve for 'a'
-b = -3a # Subtract 5b from both sides
= a # Divide both sides by -3.
a = # Use the reflexive property of equality
Hope this answers your question!
