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dlinn [17]
3 years ago
5

(X^2 +4) +32=12x^2+48

Mathematics
1 answer:
s2008m [1.1K]3 years ago
4 0
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!
</span></span></span></span>
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