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The product of two numbers, [tex]$x$[/tex] and [tex]$x+3$[/tex], is 550. Which equation could be solved to find the value of the smaller number, [tex][tex]$x$[/tex][/tex]?

A. [tex]$x^2+3=550$[/tex]
B. [tex]$3x+3=550$[/tex]
C. [tex][tex]$3x^2=500$[/tex][/tex]
D. [tex]$x^2+3x=550$[/tex]

Sagot :

GinnyAnsweridn
To solve the problem, let's break it down step-by-step.

The problem states that the product of two numbers, [tex]\( x \)[/tex] and [tex]\( x + 3 \)[/tex], is 550.

1. The first number is [tex]\( x \)[/tex].
2. The second number is [tex]\( x + 3 \)[/tex].

We can represent the product of these two numbers as:
[tex]\[ x \cdot (x + 3) = 550 \][/tex]

To find the correct equation that represents the given condition, we need to rewrite the product in a simplified form:

3. Distribute [tex]\( x \)[/tex] into [tex]\( (x + 3) \)[/tex]:
[tex]\[ x^2 + 3x = 550 \][/tex]

So, the equation that could be solved to find the value of the smaller number [tex]\( x \)[/tex] is:
[tex]\[ x^2 + 3x = 550 \][/tex]

Therefore, the correct answer is:
D. [tex]\( x^2 + 3x = 550 \)[/tex]
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