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:

14.29%

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70 years.

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