Answer:
Factorized
![=(2x-8)(x-3)](https://tex.z-dn.net/?f=%3D%282x-8%29%28x-3%29)
Roots : 4 , 3
Step-by-step explanation:
If it is to factorize :
![2x^2 - 14x + 24 = 2x^2 -6x-8x +24](https://tex.z-dn.net/?f=2x%5E2%20-%2014x%20%2B%2024%20%3D%202x%5E2%20-6x-8x%20%2B24)
![=2x(x-3)-8(x-3)\\=(2x-8)(x-3)](https://tex.z-dn.net/?f=%3D2x%28x-3%29-8%28x-3%29%5C%5C%3D%282x-8%29%28x-3%29)
If it is to solve for x :
![2x^2 -1 4x + 24 = 0\\(2x-8)(x-3)=0\\2x - 8 = 0 \ , \ x - 3 = 0\\2x = 8 \ , \ x = 3\\x = 4 , 3](https://tex.z-dn.net/?f=2x%5E2%20-1%204x%20%2B%2024%20%3D%200%5C%5C%282x-8%29%28x-3%29%3D0%5C%5C2x%20-%208%20%3D%200%20%5C%20%2C%20%5C%20x%20-%203%20%3D%200%5C%5C2x%20%3D%208%20%5C%20%2C%20%5C%20x%20%3D%203%5C%5Cx%20%3D%204%20%2C%203)
positive number times negative number is negative number "(+)(-) = (-)".
![1\dfrac{1}{2}\cdot\left(-1\dfrac{1}{4}\right)=-\left(1\dfrac{1}{2}\cdot1\dfrac{1}{4}\right)](https://tex.z-dn.net/?f=1%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cleft%28-1%5Cdfrac%7B1%7D%7B4%7D%5Cright%29%3D-%5Cleft%281%5Cdfrac%7B1%7D%7B2%7D%5Ccdot1%5Cdfrac%7B1%7D%7B4%7D%5Cright%29)
we change the mixed numbers to the improper fractions
![=-\left(\dfrac{1\cdot2+1}{2}\cdot\dfrac{1\cdot4+1}{4}\right)=-\left(\dfrac{3}{2}\cdot\dfrac{5}{4}\right)=-\dfrac{3\cdot5}{2\cdot4}=-\dfrac{15}{8}=-1\dfrac{7}{8}](https://tex.z-dn.net/?f=%3D-%5Cleft%28%5Cdfrac%7B1%5Ccdot2%2B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B1%5Ccdot4%2B1%7D%7B4%7D%5Cright%29%3D-%5Cleft%28%5Cdfrac%7B3%7D%7B2%7D%5Ccdot%5Cdfrac%7B5%7D%7B4%7D%5Cright%29%3D-%5Cdfrac%7B3%5Ccdot5%7D%7B2%5Ccdot4%7D%3D-%5Cdfrac%7B15%7D%7B8%7D%3D-1%5Cdfrac%7B7%7D%7B8%7D)
The Answer is 100.43781641
Answer:
x =17.6
The three angles are
6x = 105.6
x-3 =14.6
3x+7 = 59.8
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
6x + x-3 + 3x+7 = 180
Combine like terms
10x +4 = 180
Subtract 4 from each side
10x+4-4= 180-4
10x = 176
Divide each side by 10
10x/10 =176/10
x =17.6
The three angles are
6x = 6*17.6= 105.6
x-3 = 17.6-3 =14.6
and 3x+7 = 3(17.6)+7 =52.8+7 = 59.8