Answer:
   2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
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To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
   3x(x -4) +5 -x -(2x -7) = 0
   3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
   3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
   3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
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<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
   d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
   d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
 
        
             
        
        
        
When you evaluate the problem you end up with 204100 
Scientific Notation: 2.041 x 10^5
        
             
        
        
        
Answer:
3
Step-by-step explanation:
Well the square root of 12 is 3.464 and 12 squared is 144, and an intiger is a whole number no decimal or fraction. So round 3.464 to the nearest whole is 3. Hope this helps(:
 
        
             
        
        
        
Hi there!
1/4 is a rational number.
Any number that can be written as a fraction is a rational number.
~ Hope this helps you ~
        
             
        
        
        
Answer:
=
−
0
.
8
Step-by-step explanation: