Answer:
First Picture ⇒ [B] <em>a = -2, b = 1, and c = -5</em>
<em>Second Picture ⇒ First step: Identify a = 1, b = 3, c = -4</em>
<em> </em>![x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%5Cpm%20%5Csqrt%7B3%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5Cleft%28-4%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A1%7D)
<em> </em>![x=\frac{-3\pm 5\sqrt{25}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%5Cpm%205%5Csqrt%7B25%7D%7D%7B2%7D)
![x=\frac{-3\pm \:5}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%5Cpm%20%5C%3A5%7D%7B2%7D)
![x=\frac{-3+5}{2},\:x=\frac{-3-5}{2\c}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%2B5%7D%7B2%7D%2C%5C%3Ax%3D%5Cfrac%7B-3-5%7D%7B2%5Cc%7D)
Third Picture ⇒ Missing Info
Fourth Picture ⇒ [A] ![x=-\frac{5}{2},\:x=-3](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B5%7D%7B2%7D%2C%5C%3Ax%3D-3)
Fifth Picture ⇒ ![x=\frac{5\pm\sqrt{1} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B1%7D%20%7D%7B2%7D)
Step-by-step explanation:
<em>-------------------------------------------------------------------------------------------------------------</em>
<em>Identify the a,b, and c-values for this equation:</em>
<em>y = -2x² + x -5 </em>
<em>Quadratic Formula:</em>
<em>ax²+bx+c=0</em>
<em>−2x²+1x−5=0</em>
<em>a = -2, b = 1, and c = -5</em>
<em>-------------------------------------------------------------------------------------------------------------</em>
Order the steps for solving this equation using the quadratic formula.
x<em>² + 3x - 4 = 0</em>
<em>Solving to see what are the steps:</em>
<em>First step: Identify a = 1, b = 3, c = -4</em>
<em />![x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%5Cpm%20%5Csqrt%7B3%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5Cleft%28-4%5Cright%29%7D%7D%7B2%5Ccdot%20%5C%3A1%7D)
![x=\frac{-3\pm 5\sqrt{25}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%5Cpm%205%5Csqrt%7B25%7D%7D%7B2%7D)
![x=\frac{-3\pm \:5}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-3%5Cpm%20%5C%3A5%7D%7B2%7D)
<em>-------------------------------------------------------------------------------------------------------------</em>
<em>Use the quadratic formula to find the solution set for 2x² + 15 = -11x.</em>
<em>Add 11x to both sides:</em>
<em>2x² + 15+11x = -11x+11x</em>
<em>Simplify</em>
<em>2x² + 11x+15 = 0</em>
<em>Now solve with quadratic formula..</em>
<em />![x_{1,\:2}=\frac{-11\pm \sqrt{11^2-4\cdot \:2\cdot \:15}}{2\cdot \:2}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-11%5Cpm%20%5Csqrt%7B11%5E2-4%5Ccdot%20%5C%3A2%5Ccdot%20%5C%3A15%7D%7D%7B2%5Ccdot%20%5C%3A2%7D)
![x_{1,\:2}=\frac{-11\pm \:1}{2\cdot \:2}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-11%5Cpm%20%5C%3A1%7D%7B2%5Ccdot%20%5C%3A2%7D)
![x_1=\frac{-11+1}{2\cdot \:2},\:x_2=\frac{-11-1}{2\cdot \:2}](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B-11%2B1%7D%7B2%5Ccdot%20%5C%3A2%7D%2C%5C%3Ax_2%3D%5Cfrac%7B-11-1%7D%7B2%5Ccdot%20%5C%3A2%7D)
![x=-\frac{5}{2},\:x=-3](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B5%7D%7B2%7D%2C%5C%3Ax%3D-3)
Hence, [A] ![x=-\frac{5}{2},\:x=-3](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B5%7D%7B2%7D%2C%5C%3Ax%3D-3)
<em>-------------------------------------------------------------------------------------------------------------</em>
<em>Suppose you are solving a quadratic equation and this is your work so far...</em>
<em>x ² - 5x + 6 = 0</em>
<em>Thus, we have:</em>
<em />![x=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:6}}{2\cdot \:1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%5Cleft%28-5%5Cright%29%5Cpm%20%5Csqrt%7B%5Cleft%28-5%5Cright%29%5E2-4%5Ccdot%20%5C%3A1%5Ccdot%20%5C%3A6%7D%7D%7B2%5Ccdot%20%5C%3A1%7D)
![x=\frac{-\left(-5\right)\pm \:1}{2\cdot \:1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%5Cleft%28-5%5Cright%29%5Cpm%20%5C%3A1%7D%7B2%5Ccdot%20%5C%3A1%7D)
![x=\frac{5\pm\sqrt{1} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Cpm%5Csqrt%7B1%7D%20%7D%7B2%7D)
![x_1=\frac{-\left(-5\right)+1}{2\cdot \:1},\:x_2=\frac{-\left(-5\right)-1}{2\cdot \:1}](https://tex.z-dn.net/?f=x_1%3D%5Cfrac%7B-%5Cleft%28-5%5Cright%29%2B1%7D%7B2%5Ccdot%20%5C%3A1%7D%2C%5C%3Ax_2%3D%5Cfrac%7B-%5Cleft%28-5%5Cright%29-1%7D%7B2%5Ccdot%20%5C%3A1%7D)
![x=3,x=2](https://tex.z-dn.net/?f=x%3D3%2Cx%3D2)
<em>-------------------------------------------------------------------------------------------------------------</em>
<u><em>Kavinsky</em></u>