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Tanzania [10]
4 years ago
14

N^2-5n=3 Round to the nearest hundredth

Mathematics
1 answer:
marissa [1.9K]4 years ago
3 0
Let's solve your equation step-by-step.<span><span><span>n2</span>−<span>5n</span></span>=3</span>Step 1: Subtract 3 from both sides.<span><span><span><span>n2</span>−<span>5n</span></span>−3</span>=<span>3−3</span></span><span><span><span><span>n2</span>−<span>5n</span></span>−3</span>=0</span>Step 2: Use quadratic formula with a=1, b=-5, c=-3.<span>n=<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>n=<span><span><span>−<span>(<span>−5</span>)</span></span>±<span>√<span><span><span>(<span>−5</span>)</span>2</span>−<span><span>4<span>(1)</span></span><span>(<span>−3</span>)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>n=<span><span>5±<span>√37</span></span>2</span></span><span><span>n=<span><span>52</span>+<span><span><span><span>12</span><span>√37</span></span><span> or </span></span>n</span></span></span>=<span><span>52</span>+<span><span><span>−1</span>2</span><span>√37</span></span></span></span>Answer:<span><span>n=<span><span>52</span>+<span><span><span><span>12</span><span>√37</span></span><span> or </span></span>n</span></span></span>=<span><span>52</span>+<span><span><span>−1</span>2</span><span>√<span>37</span></span></span></span></span>
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