In math, an extraneous solution is a solution of an equation that is obtained from solving the problem however this solution is not a valid solution. For instance,
<span><span>(1/(x − 2)) </span>+ (<span>1/(x + 2)) </span>= <span>4 / <span><span>(x − 2)</span><span>(x + 2)
</span></span></span></span><span><span><span><span>[(x − 2)</span><span>(x + 2)/</span></span><span>(x − 2)] </span></span>+ [<span><span><span>(x − 2)</span><span>(x + 2)/</span></span><span>(x + 2)] </span></span>= [<span><span>4<span>(x − 2)</span><span>(x + 2)] / [</span></span><span><span>(x − 2)</span><span>(x + 2)]
</span></span></span></span><span><span>(<span>x−2</span>)</span>+<span>(<span>x+2</span>)</span>=<span>4
x = 2
But <span>2</span><span> is excluded from the domain of the original equation because it would make the </span>denominator<span> of one zero and this is not valid.</span>
</span></span>
Answer:
$10.25
Step-by-step explanation:
0.75 x 11 = 8.25
8.25 + 2.00 = 10.25
Total: $10.25
Answer:
16
Step-by-step explanation:
Make a proportion:
66/12 = (104-r)/r
Simplify:
r = 16
The Identity Property of Multiplication states that any number multiplied by 1 does not change. Therefore the correct answer would be: <span>8 • 1 = 8.</span>