if,
p/x=x/q
then cross-multiplying gives <span>x^2=pq</span>
<span>x^2=pq</span>. Taking the square root of both sides, we get <span>x=√pq</span> as the geometric mean of p and q.
Hence in the given question the product of p and q is 8.
so,
x=√8
x=2√2
Simplify the exponents
3-2=1 therefore it should be 1/7 the third answer. Hope that helps
So the answer is
(<span>x^2 plus or minus 6)(x^2 plus or minus 6)
an easy way to do this is to only look at plus or minus 6
x^4 <u><em>- 12</em></u>x^2 + <u><em>36 (-12 and 36)
</em></u><em />
<u><em /></u>6 x 6 = 36
<em />6 + 6 </span>≠ -12 (x^2 + 6)(x^2 + 6) is incorrect
<span><u><em>
</em></u><em><u /></em><u />6 x -6 </span>≠ 36
<span><em />6 + -6 </span>≠ -12 (x^2 - 6)(x^2 + 6) is incorrect
<span><em /><em>
</em><em />-6 x -6 = 36
<em />-6 + -6 = -12 </span><span>(x^2 - 6)(x^2 - 6) is correct
</span><u><em>
the answer is (1)
</em></u>
Using the Distributive Property
The answer would be 3.
2 *4x = 8x and 2 * 3 = 6, to get 8x 6
