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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.

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Answer: The value of greater number is 30.

Step-by-step explanation:

Since we have given that

Product of two positive number = 750

Let the first number be 'x'

Let the second number be 'x-5'.

So, According to question, it becomes,

[tex]x(x-5)=750\\\\x^2-5x=750\\\\x^-5x-750=0\\\\x^2-30x+25x-750=0\\\\x(x-30)+25(x-30)=0\\\\(x-30)(x+25)=0\\\\x=30,-25[/tex]

Hence, the value of greater number is 30.

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