Question

One number is one-third of another. The difference of their squares is 3⁄4. Find the numbers.

Answer 1

Answer:

If it helps mark me as brainliest.

Step-by-step explanation:

Let the numbers be x and 3x.

Given,

${3x}^{2} - {x}^{2} = \frac{3}{4} \\ = > 2 {x}^{2} = \frac{3}{4} \\ = > {x}^{2} = \frac{3}{8} \\ = > x = \frac{ \sqrt{3} }{2 \sqrt{2} } \: or \: - \frac{ \sqrt{3} }{2 \sqrt{2} }$

So, the numbers are (✓3/2√2, 1/2√6) or (-√3/2√2, -1/2√6).

Answer 2

Refer the given Attachment for Explanation.