The expression: Can you explain how to factor out the 1/3 from 2 in detail I am having trouble.

SAT

1 answer:

slava [35]2 years ago

6 0

Answer:

Explanation:

If you multiply (x - k)(x + k), you get $x^{2} + k*x - k*x - k^{2}$ which is equal to $x^{2} -k^{2}$ . Now you can see that $\frac{1}{3} *x^{2} - 2$ must be equal to $\frac{1}{3}*(x^{2} - k^{2})$ which is equal to $\frac{1}{3}*x^{2} - \frac{1}{3}*k^{2}$ . Now we just need to solve $2 = \frac{1}{3}*k^{2}$ . The final answer is $k = +- \sqrt{6}$ .

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Nastasia [14]

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$\quad\rule{300pt}{1pt}\quad$

<h3>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</h3>

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