Given:
![\begin{gathered} x^2-3x+2=0 \\ x^2+2x-15=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2-3x%2B2%3D0%20%5C%5C%20x%5E2%2B2x-15%3D0%20%5Cend%7Bgathered%7D)
Required:
We need to find the solution by Vièta's theorem.
Explanation:
Compare 1st equation with
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
we get
![\begin{gathered} a=1 \\ b=-3 \\ c=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%3D1%20%5C%5C%20b%3D-3%20%5C%5C%20c%3D2%20%5Cend%7Bgathered%7D)
Vièta's theorem is
![\begin{gathered} x_1+x_2=-\frac{b}{a} \\ x_1x_2=\frac{c}{a} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_1%2Bx_2%3D-%5Cfrac%7Bb%7D%7Ba%7D%20%5C%5C%20x_1x_2%3D%5Cfrac%7Bc%7D%7Ba%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} x_1+x_2=3 \\ x_1x_2=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_1%2Bx_2%3D3%20%5C%5C%20x_1x_2%3D2%20%5Cend%7Bgathered%7D)
now solve this equation and we get
![\begin{gathered} x_1=1 \\ x_2=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_1%3D1%20%5C%5C%20x_2%3D2%20%5Cend%7Bgathered%7D)
because addition of 1 and 2 is 3 and multiplication is 2
Now for 2nd equation
![\begin{gathered} a=1 \\ b=2 \\ c=-15 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20a%3D1%20%5C%5C%20b%3D2%20%5C%5C%20c%3D-15%20%5Cend%7Bgathered%7D)
apply Vièta's theorem
![\begin{gathered} x_1+x_2=-2 \\ x_1x_2=-15 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_1%2Bx_2%3D-2%20%5C%5C%20x_1x_2%3D-15%20%5Cend%7Bgathered%7D)
by this
![\begin{gathered} x_1=3 \\ x_2=-5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_1%3D3%20%5C%5C%20x_2%3D-5%20%5Cend%7Bgathered%7D)
because addition of 3 and -5 is -2 and multiplication is -15
Answer:
D. 140,000
Step-by-step explanation:
Given:
The maximum weight of one shipping container and its contents = 10,000 pounds.
Therefore:
The maximum weight of 14 shipping containers and their contents
=10,000 X 14
=140,000 Pounds.
The maximum weight of 14 shipping containers and their contents is 140,000 Pounds.
The correct option is D.
374954 is the product to ur question
A dilation of 27 is the answer because 27*20=540
Answer:
v = 16.155 m/s
Step-by-step explanation:
![W = 0.5 mv^2 \\ plug \: m = 6 \: and \: w = 783 \\ 783 = 0.5 \times 6 \times {v}^{2} \\ 783 = 3 {v}^{2} \\ {v}^{2} = \frac{783}{3} \\ {v}^{2} = 261 \\ v = \sqrt{261} \\ v = 16.1554944 \\ \huge \red{ \boxed{v = 16.155 \: m {s}^{ - 1} }} \\](https://tex.z-dn.net/?f=W%20%3D%200.5%20mv%5E2%20%20%5C%5C%20plug%20%5C%3A%20m%20%3D%206%20%5C%3A%20and%20%5C%3A%20w%20%3D%20783%20%5C%5C%20783%20%3D%200.5%20%5Ctimes%206%20%5Ctimes%20%20%7Bv%7D%5E%7B2%7D%20%20%5C%5C%20783%20%3D%203%20%7Bv%7D%5E%7B2%7D%20%20%5C%5C%20%20%7Bv%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B783%7D%7B3%7D%20%20%5C%5C%20%20%7Bv%7D%5E%7B2%7D%20%20%3D%20261%20%5C%5C%20v%20%3D%20%20%5Csqrt%7B261%7D%20%20%5C%5C%20v%20%3D%2016.1554944%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7Bv%20%3D%2016.155%20%5C%3A%20m%20%7Bs%7D%5E%7B%20-%201%7D%20%7D%7D%20%5C%5C%20)