It would be 8X5=40 and 21/7=3
Answer:
, ![x=\frac{-17-\sqrt{97}}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17-%5Csqrt%7B97%7D%7D%7B6%7D)
Step-by-step explanation:
Use the quadratic formula to solve for all real solutions.
Quadratic formula: ![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Plug in and solve:
![x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B17%5E2-4%283%29%2816%29%7D%7D%7B2%283%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B289-4%283%29%2816%29%7D%7D%7B2%283%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B289-12%2816%29%7D%7D%7B2%283%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B289-192%7D%7D%7B2%283%29%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B-17%5Cpm%5Csqrt%7B97%7D%7D%7B6%7D%5C%5C)
Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:
![x=\frac{-17+\sqrt{97}}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17%2B%5Csqrt%7B97%7D%7D%7B6%7D)
and
![x=\frac{-17-\sqrt{97}}{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-17-%5Csqrt%7B97%7D%7D%7B6%7D)
Use equation of line which passes through the 2 points
![A(x_1,y_1),B(x_2,y_2)](https://tex.z-dn.net/?f=A%28x_1%2Cy_1%29%2CB%28x_2%2Cy_2%29)
.
Okay. On the part that's not the whole number, see how the top number is BIGGER than the bottom? That means that it's not simplified. In order to make it simplified, you have to take a whole out of the pat that's not a whole number. Since the denominator is 12, the whole is 12/12. So, subtract it from the 13/12.
13/12-12/12=1/12
Now, since you found a whole inside of the fraction you have to add 1 to the whole number.
5+1=6
So, the answer is 6 1/12.
Thanks for the points!