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Gre PREP Question
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05 Jun 2016, 16:03
05 Jun 2016, 16:03
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x^2 - 10x + 13 = K. If one of the solution to the equation is x=4 what is the other solution for x?
Re: Gre PREP Question
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06 Jun 2016, 01:53
06 Jun 2016, 01:53
1
Expert Reply
Hi GREHelp,
what is the source of the question ?? also post the answer choices considering that one is D
Substitute x=4 to your equation so K=-11 from thi \(x^2\)-10x+13=-11 >>>>> \(x^2\)-10x+24=0
For having two numbers that multiplicated give you 24 and added give you -10 the only possible are -6 and -4 >>> 6*4=24 and -6 + -4 =-10
So the answer should be x-4=0 >> x=4 AND x-6=0 >> x=6. X=6 is the other root.
regards
what is the source of the question ?? also post the answer choices considering that one is D
Substitute x=4 to your equation so K=-11 from thi \(x^2\)-10x+13=-11 >>>>> \(x^2\)-10x+24=0
For having two numbers that multiplicated give you 24 and added give you -10 the only possible are -6 and -4 >>> 6*4=24 and -6 + -4 =-10
So the answer should be x-4=0 >> x=4 AND x-6=0 >> x=6. X=6 is the other root.
regards
Re: Gre PREP Question
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06 Jun 2016, 13:14
06 Jun 2016, 13:14
Sorry for the inconvenience, the source of the question is Manhattan Prep GRE Algebra Practice book and the answer was 6. It was a fill in the blank question.
I understand how you solved it, the explanation makes perfect sense. Where I struggled was that after substituting the 4 into the problem, and getting -11. I did not know what to do next. How did you know that you need to set the equation to -11?
The first thing I tried to do when I first saw this problem was to try to factor it out but how do you factor a number that is adding +13. The only two numbers that multiply to equal 13 is (1 and 13) however they do not sum to 10.
THANKS SO MUCH!!
I understand how you solved it, the explanation makes perfect sense. Where I struggled was that after substituting the 4 into the problem, and getting -11. I did not know what to do next. How did you know that you need to set the equation to -11?
The first thing I tried to do when I first saw this problem was to try to factor it out but how do you factor a number that is adding +13. The only two numbers that multiply to equal 13 is (1 and 13) however they do not sum to 10.
THANKS SO MUCH!!
