Question

the product of two numbers x and x + 3 is 550 which equation could be solved to find the value of the smaller number x​

Answer 1

The equation that could be solved to find the value of the smaller number x is x(x+3) = 550. To solve this equation, use the distributive property and either factor the quadratic or use the quadratic formula.

Step-by-step explanation:

The equation that could be solved to find the value of the smaller number x is:

x(x+3) = 550

To solve this equation, we can use the distributive property to expand the expression:

x^2 + 3x = 550

Next, we rearrange the equation to isolate the variable x:

x^2 + 3x - 550 = 0

Finally, we can either factor the quadratic or use the quadratic formula to solve for x.

Answer 2

`{x=22};{x+3=25}\\{22}*{25}=550`

Step-by-step explanation:

First, set up the equation:

`(x)(x+3)=550`

Then, simplify:

`x^2+3x=550`

Next, subtract 550 from both sides:

`x^2+3x-550=0`

Factor the left side of the equation:

`(x-22)(x+25)=0`

Finally, set the factors equal to 0 and solve for x:

`\begin{array}{ll}{x-22=0}&{x+25=0}\\{x=22}&{x={-25}}\end{array}`