Answer:
4200 dozen
Step-by-step explanation:
The answer is :x=3±√3312x=3±3312x≈0.72871355,−0.22871355
Use the quadratic formula to find the solutions.<span><span><span><span>−b</span>±<span>√<span><span>b2</span><span><span>−4</span><span>(<span>ac</span>)</span></span></span></span></span><span>2a</span></span><span><span><span>-b</span>±<span><span>b2</span><span><span>-4</span><span>ac</span></span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=6</span><span>a=6</span></span>, <span><span>b=<span>−3</span></span><span>b=<span>-3</span></span></span>, and <span><span>c=<span>−1</span></span><span>c=<span>-1</span></span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>3±<span>√<span><span><span>(<span>−3</span>)</span>2</span><span><span>−4</span>⋅<span>(<span>6⋅<span>−1</span></span>)</span></span></span></span></span><span>2⋅6</span></span><span><span>3±<span><span><span>-3</span>2</span><span><span>-4</span>⋅<span>6⋅<span>-1</span></span></span></span></span><span>2⋅6</span></span></span>Simplify.Tap for less steps...Simplify the numerator.Tap for less steps...Raise <span><span>−3</span><span>-3</span></span> to the power of <span>22</span> to get <span>99</span>.<span><span>x=<span><span>3±<span>√<span>9<span><span>−4</span>⋅<span>(<span>6⋅<span>−1</span></span>)</span></span></span></span></span><span>2⋅6</span></span></span><span>x=<span><span>3±<span>9<span><span>-4</span>⋅<span>6⋅<span>-1</span></span></span></span></span><span>2⋅6</span></span></span></span>Multiply <span>66</span> by <span><span>−1</span><span>-1</span></span> to get <span><span>−6</span><span>-6</span></span>.<span><span>x=<span><span>3±<span>√<span>9<span><span>−4</span>⋅<span>−6</span></span></span></span></span><span>2⋅6</span></span></span><span>x=<span><span>3±<span>9<span><span>-4</span>⋅<span>-6</span></span></span></span><span>2⋅6</span></span></span></span>Multiply <span><span>−4</span><span>-4</span></span> by <span><span>−6</span><span>-6</span></span> to get <span>2424</span>.<span><span>x=<span><span>3±<span>√<span>9+24</span></span></span><span>2⋅6</span></span></span><span>x=<span><span>3±<span>9+24</span></span><span>2⋅6</span></span></span></span>Add <span>99</span> and <span>2424</span> to get <span>3333</span>.<span><span>x=<span><span>3±<span>√33</span></span><span>2⋅6</span></span></span><span>x=<span><span>3±33</span><span>2⋅6</span></span></span></span>Simplify the denominator.Tap for less steps...Rewrite.<span><span>x=<span><span>3±<span>√33</span></span><span>2⋅6</span></span></span><span>x=<span><span>3±33</span><span>2⋅6</span></span></span></span>Multiply <span>22</span> by <span>66</span> to get <span>1212</span>.<span><span>x=<span><span>3±<span>√33</span></span>12</span></span><span>x=<span><span>3±33</span>12</span></span></span>The result can be shown in both exact and approximate form.<span><span>x=<span><span>3±<span>√33</span></span>12</span></span><span>x=<span><span>3±33</span>12</span></span></span><span>x≈0.72871355,<span>−0.22871355</span></span>
Always, because supplementary means it would add up to 180, but one of the angles must be greater than 90 otherwise if its less and the other one is less, then they will not add to 180