Answer:
DGF = 106
Step-by-step explanation:
Bisects means to divide in half, with two equal parts
DGF = DGE + EGF
DGE = EGF
DGF = DGE + DGE
DGF = 53+53
DGF = 106
7 will never equal 8 so there is no solution. so i think it is C
40 x 8.50 = 340
340 x .0765 = 26.01
So the employer should withhold $26.01 from her check for social security.
Answer:
![\displaystyle x=-5,\ x=5,\ x=4i,\ x=-4i](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D-5%2C%5C%20x%3D5%2C%5C%20x%3D4i%2C%5C%20x%3D-4i)
Step-by-step explanation:
Biquadratic Equation
It's a fourth-degree equation where the terms of degree 1 and 3 are missing. It can be solved for the variable squared as if it was a second-degree equation, and then take the square root of the results
Our equation is
![\displaystyle -3x^4+27x^2+1200=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-3x%5E4%2B27x%5E2%2B1200%3D0)
If we call
, our equation becomes a second-degree equation
![\displaystyle -3y^2+27y+1200=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-3y%5E2%2B27y%2B1200%3D0)
Dividing by -3
![\displaystyle y^2-9y-400=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%5E2-9y-400%3D0)
Factoring
![\displaystyle (y-25)(y+16)=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28y-25%29%28y%2B16%29%3D0)
It leads to these solutions
![\displaystyle y=25\ ,\ y=-16](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D25%5C%20%2C%5C%20y%3D-16)
Taking back the change of variable, we have for the first solution
![\displaystyle x^2=25\Rightarrow x=-5,x=5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E2%3D25%5CRightarrow%20x%3D-5%2Cx%3D5)
Now for the second solution, we get imaginary (complex) values
![\displaystyle x^2=-16\Rightarrow x=4i,\ x=-4i](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E2%3D-16%5CRightarrow%20x%3D4i%2C%5C%20x%3D-4i)
Summarizing, the four solutions for x are
![\displaystyle x=-5,\ x=5,\ x=4i,\ x=-4i](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D-5%2C%5C%20x%3D5%2C%5C%20x%3D4i%2C%5C%20x%3D-4i)