| Solved by pluggable solver: Factoring using the AC method (Factor by Grouping) | |||||||||||||||||||||||||||
Looking at the expression Now multiply the first coefficient Now the question is: what two whole numbers multiply to To find these two numbers, we need to list all of the factors of Factors of 1,2,3,5,6,10,15,30 -1,-2,-3,-5,-6,-10,-15,-30 Note: list the negative of each factor. This will allow us to find all possible combinations. These factors pair up and multiply to 1*30 = 30 2*15 = 30 3*10 = 30 5*6 = 30 (-1)*(-30) = 30 (-2)*(-15) = 30 (-3)*(-10) = 30 (-5)*(-6) = 30 Now let's add up each pair of factors to see if one pair adds to the middle coefficient
From the table, we can see that there are no pairs of numbers which add to =============================================================== Answer: So So |
| Solved by pluggable solver: SOLVE quadratic equation with variable |
| Quadratic equation For these solutions to exist, the discriminant First, we need to compute the discriminant The discriminant -116 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -116 is + or - The solution is Here's your graph: |