## The product of two positive numbers is 750. The first number is 5 less than the second number. The equation x(x – 5) = 750 can be used to fi

Question

The product of two positive numbers is 750. The first number is 5 less than the second number. The equation x(x – 5) = 750 can be used to find x, the value of the greater number. What is the value of the greater number? 15 25 30 50

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1 week 2021-09-10T11:09:29+00:00 2 Answers 0

30

Step-by-step explanation:

You can try the answer choices to see what works.

15·10 ≠ 750

25·20 ≠ 750

30·25 = 750 . . . . the larger number is 30

50·45 ≠ 750

The value of the greater number is 30.

Step-by-step explanation:

We need to find the values of x that satisfy the equation : Working with the equation ⇒   Given an equation with the form We can use the quadratic equation to find the values of x and With we replace in the equations of x1 and x2 ⇒  is a solution of the equation Now for x2 ⇒  is a solution of the equation Given that both numbers are positive ⇒ and Therefore, x2 is not a possible value for the greater number

The greater number is 