Step-by-step explanation:
You need to divide both sides by 3 to get x by itself:
x > -4
<-l-------l-------l-------l-------l--------l--------l--------l-------l->
4 3 2 1 0 1 2 3 4
You would place your point on -4, but it's opened because there is not an equal to sign underneath the inequality symbol. The "<" is pointing to the right so you would shade the number line on the right following -4.
-2x(x-7)
Just use distributive property.
-2x² + 14x
Answer: ![x_1=6.73\\\\x_2=3.26](https://tex.z-dn.net/?f=x_1%3D6.73%5C%5C%5C%5Cx_2%3D3.26)
Step-by-step explanation:
Given the following expression:
![(x-5)^2=3](https://tex.z-dn.net/?f=%28x-5%29%5E2%3D3)
And knowing that:
![(a\±b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%28a%5C%C2%B1b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
We get:
![x^2-2(x)(5)+5^2=3\\\\x^2-10x+25=3](https://tex.z-dn.net/?f=x%5E2-2%28x%29%285%29%2B5%5E2%3D3%5C%5C%5C%5Cx%5E2-10x%2B25%3D3)
Move the 3 to the left side of the equation:
![x^2-10x+25-3=0\\\\x^2-10x+22=0](https://tex.z-dn.net/?f=x%5E2-10x%2B25-3%3D0%5C%5C%5C%5Cx%5E2-10x%2B22%3D0)
Apply the Quadratic formula:
![x=\frac{-b\±\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5C%C2%B1%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
In this case:
![a=1\\b=-10\\c=22](https://tex.z-dn.net/?f=a%3D1%5C%5Cb%3D-10%5C%5Cc%3D22)
Substituting values into the Quadratic formula, we get:
Answer:
Step-by-step explanation:
hope this helped
Answer:
whats the question
Step-by-step explanation: