We have that the logarithmic function has a domain from 0 (without including 0) to plus infinity. That is because of the property that e=2.71 raised to any power is positive. We also have that the square root function is defined only from 0 to plus infinity, since every square of a number is positve or 0. The answer is that the domains differ; they are almost equal, except for the fact that the domain of the square root function additionally contains 0.
Factor
9c^4-21c^2+21c^2-49
Final answer: 9c^4-49
Let's solve your equation step-by-step.
<span><span><span><span>x2</span>+4</span>+32</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>x2</span>+36</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 2: Subtract 12x^2+48 from both sides.
<span><span><span><span>x2</span>+36</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)</span></span>=<span><span><span>12<span>x2</span></span>+48</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)
</span></span></span><span><span><span>−<span>11<span>x2</span></span></span>−12</span>=0
</span>Step 3: Use quadratic formula with a=-11, b=0, c=-12.
<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a
</span></span></span><span>x=<span><span><span>−<span>(0)</span></span>±<span>√<span><span><span>(0)</span>2</span>−<span><span>4<span>(<span>−11</span>)</span></span><span>(<span>−12</span>)</span></span></span></span></span><span>2<span>(<span>−11</span>)
</span></span></span></span><span>x=<span><span>0±<span>√<span>−528</span></span></span><span>−<span>22
Hopefully this helps!
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Plot A: Missing dot at 35 and 55.
Plot B: Missing the number 45 on number line therefore inconsistent increments of prices w/other 2 plots.
