Carlos Z.

asked • 06/09/14

solve for x

Solve for x in the equation x^2-13x+42=0
 
A) {6, 7}
 
B) {-6, 7}
 
C) {6, -7}
 
D) {-6, -7}

1 Expert Answer

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Philip P. answered • 06/09/14

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x2 - 13x + 42 = 0
 
Factors to:
 
(x-6)(x-7) = 0
 
Can you finish it from here?  Apply the zero factor property.
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Carlos Z.

I'm still a little confused...zero factor property? Do I apply the foil method from here?
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06/09/14

Philip P.

tutor
Remember you are looking for the values of x that make the equation equal to zero.  The zero factor property means that x will equal zero whenever (x-6) equals zero or (x-7) equals zero.  What values of x make (x-6) and (x-7) zero?
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06/09/14

Carlos Z.

I believe A) {6, 7} would be the anwer since adding 6 to -6 would equal 0 and the same result would be for 7....am I correct?
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06/09/14

Philip P.

tutor
Yes, choice A {6,7} is correct
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06/09/14

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