We have to solve this equation:
Third degree polynomials like this one are not easily solved, but this one has a root at x = 0. The let us factorize this polynomial as x times a second degree polynomial:
Now we can find the roots of the quadratic polynomial as:
![\begin{gathered} x=\frac{-(-6)\pm\sqrt[]{(-6)^2-4\cdot1\cdot6}}{2\cdot1} \\ x=\frac{6\pm\sqrt[]{36-24}}{2} \\ x=\frac{6\pm\sqrt[]{12}}{2} \\ x=\frac{6\pm\sqrt[]{4\cdot3}}{2} \\ x=\frac{6\pm2\sqrt[]{3}}{2} \\ x=3\pm\sqrt[]{3} \\ x_1=3-\sqrt[]{3} \\ x_2=3+\sqrt[]{3} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B-%28-6%29%5Cpm%5Csqrt%5B%5D%7B%28-6%29%5E2-4%5Ccdot1%5Ccdot6%7D%7D%7B2%5Ccdot1%7D%20%5C%5C%20x%3D%5Cfrac%7B6%5Cpm%5Csqrt%5B%5D%7B36-24%7D%7D%7B2%7D%20%5C%5C%20x%3D%5Cfrac%7B6%5Cpm%5Csqrt%5B%5D%7B12%7D%7D%7B2%7D%20%5C%5C%20x%3D%5Cfrac%7B6%5Cpm%5Csqrt%5B%5D%7B4%5Ccdot3%7D%7D%7B2%7D%20%5C%5C%20x%3D%5Cfrac%7B6%5Cpm2%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%20%5C%5C%20x%3D3%5Cpm%5Csqrt%5B%5D%7B3%7D%20%5C%5C%20x_1%3D3-%5Csqrt%5B%5D%7B3%7D%20%5C%5C%20x_2%3D3%2B%5Csqrt%5B%5D%7B3%7D%20%5Cend%7Bgathered%7D)
Then, the solutions to the equation are:
x = 0
x = 3 - √3
x = 3 + √3
(I see that your concentrating on the task at hand with those YT and fortnite tabs open)
The area of the parallelogram is "base times height," so its 20*8 which is 160.
To find the area of the triangle, we have to find the base which incorporates Pythagorean'd theorem.
100 - 64 = 36, sqrt 36 is 6. So the base of the triangle is 6, the height is 12.6, thus the area is 6.3 * 6, which is 37.8
Adding the two values up, we get 37.8 + 160 = 197.8
Answer:
x =30
Step-by-step explanation:
in order to evaluate the solution 4/5=20/(x-5)?
solution
the first step to take is to cross multiply
4/5=20/(x-5)
we have,
5 x 20 = 4 ( x -5)
100 = 4x - 20
combine the like terms
100+20 = 4x
120 = 4x
divide both sides by the coefficient of x
120/4 = 4x/4
30 = x
x =30
therefore the value of x in the expression 4/5=20/(x-5)? is 30
Answer:
180 minutes
Step-by-step explanation:
because you times 5 by 36
Answer:
6
Step-by-step explanation:
2 times the difference of a number and 1 = 4 plus that number
In other to express the word problem Mathematically ; let the number = x
2(x - 1) = 4 + x
Expand
2x - 2 = 4 + x
Collect like terms
2x - x = 4 + 2
x = 6
Hence, the number is 6
