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What is the positive solution of x^2-36 = 5x

2 Answers

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x^2-5x-36 =0

=》(×+4)(x-9) =0

=》 x = 9 or -4

positive solution for x is 9

User James Reed
by
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5 votes

For this case we must find the positive solution of the following quadratic equation:


x ^ 2-5x-36 = 0

To find the solutions we factor, that is, we look for two numbers that when multiplied give as result -36 and when summed give as result -5.

These are:

-9 and +4


-9 * 4 = -36\\-9 + 4 = -5

So, we have:


(x-9) (x + 4) = 0

The roots are:


x_ {1} = 9\\x_ {2} = - 4

The positive solution is 9.

Answer:

9

User Anthares
by
8.3k points

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