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Vesna [10]
2 years ago
14

Solve z3+3z2−25z−75=0 .

Mathematics
1 answer:
Basile [38]2 years ago
3 0
<span>z^3 + 3z^2 -25z - 75 = 0</span>
Factor out common terms in the first two terms, then in the last two terms
<span><span><span><span>z^2</span>(z+3)−25(z+3)=0
</span></span></span>Factor out the common term <span>z+3</span>
<span><span><span>(z+3)(<span>z^2</span>−25)=0
</span></span></span>Ask: When will <span>(z+3)(<span>z^2</span>−25)</span> equal zero?
When <span>z+3=0 </span>or <span><span>z^2</span>−25=0
</span>Solve each of the 2 equations above
<span>z=−3,±5

Hope this helps</span>
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