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prohojiy [21]
3 years ago
9

Juan says, "When you put together unequal groups, you can only add." Is he correct? Explain.

Mathematics
2 answers:
liubo4ka [24]3 years ago
7 0
Yes, Juan is correct only equal groups can be multiplied.
pickupchik [31]3 years ago
5 0

Consider two groups

A = {1,w,w²}, Identity element =1

And, B= {1,-1}Identity element =1

Both are forming groups with respect to multiplication.

The first group A has 3 elements and the second group B has 2 elements.

Do, you think can we add them.

How will you add them, there are three elements in group A and 2 elements in group B, giving no benefit.

No, we can't add them.

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Hi there,

x(x + 19) = -34

I'm going to solve your equation step-by-step.<span><span>x<span>(<span>x + 19</span>) </span></span>= <span>−34

</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x2 </span>+ <span>19x </span></span>= <span>−34

</span></span>Step 2: Subtract -34 from both sides.<span><span><span><span>x2 </span>+ <span>19x </span></span>− <span>(<span>−34</span>) </span></span>= <span><span>−34 </span>− <span>(<span>−34</span>)

</span></span></span><span><span><span><span>x2 </span>+ <span>19x </span></span>+ 34 </span>= 0

</span>Step 3: Factor left side of equation.<span><span><span>(<span>x + 2</span>) </span><span>(<span>x + 17</span>) </span></span>= 0

</span>Step 4: Set factors equal to 0.<span><span><span>x + 2 </span>= <span><span><span>0<span> or </span></span>x </span>+ 17 </span></span>= 0

</span><span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−17

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Hope this helps! :)</span></span></span>
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