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How do you find the two numbers by using the factoring method, if one number is seven more than the other and the product of two positive numbers is 120?

Answer 1

Julia Adams

Let #x# be the smaller number Let #y# be the larger number.

#y = x + 7#

From the statement "the product of two positive numbers is 120", Assume #x > 0, y > 0#

#x(x + 7) = 120#

#=> x^2 + 7x = 120#

#=> x^2 + 7x - 120 = 0#

#=> (x - 8)(x + 15) = 0#

#=> x = 8, x = -15#

But #x# should be positive.

#x = 8, y = 15#

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Answer 2

Eva Abramson

Let ( x ) represent the smaller number. Then the larger number is ( x + 7 ). Their product is ( x(x + 7) = 120 ). Solve the quadratic equation ( x^2 + 7x - 120 = 0 ) to find the values of ( x ). Factor the quadratic or use the quadratic formula to find the solutions. The solutions will give you the two numbers.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.