Solve the equation by factoring: x² – 5x = 14
a. x= -2 or 7
b. x= 2 and -7
C. X= -2 or -7
d. x = 2 or 7

The two possible solutions are x = 7, or x = -2

which agree with answer a) in the list of options

Step-by-step explanation:

Start by moving all terms to one side of the equal sign, and then factoring out the constant term:

The constant term  "-14" has ossible factors: (-1), (1) (-2), (2), (-7), (7), (-14), (14) and we look for a pair whose combining results in "-5" (the coefficient of the middle term. We find (-7) and (2) the appropriate factors, so we use then to split the middle term and then factor by grouping:

Then if the product of these two binomial factors is zero, it means that the first binomial is zero, or the second one is zero. That is:

( x - 7 ) = 0  which means x = 7

or

( x + 2 ) = 0   which means  x = -2

So the two possible solutions are x = 7, or x = -2

Step-by-step explanation:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

i think it is 18

step-by-step explanation: