the product of two positive numbers is 1,800. one number is twice the other number. the equation to…
the product of two positive numbers is 1,800. one number is twice the other number. the equation to determine the two numbers, with x representing the value of the lesser number, is x(2x)=1,800. what is the value of the lesser number? 24 30 48 60
Answer
Explanation:
Step1: Simplify the equation
Given $x(2x)=1800$, expand it to get $2x^{2}=1800$.
Step2: Solve for $x^{2}$
Divide both sides of $2x^{2}=1800$ by 2. We have $x^{2}=\frac{1800}{2}=900$.
Step3: Solve for $x$
Take the square - root of both sides. Since $x$ is a positive number, $x = \sqrt{900}=30$.
Answer:
30