Write an expression in factored form that is equivalent to the given expression. 1/2x + 4 . can u also tell how you solved it ?

Respuesta :

2 ways: Easy and hard
Hard=A
Easy=B
A: 1/2x+4 work from there so we do fun stuff with it make something that can be simplified so 1/2x+4 times (2/2)=x+8 now square the whole thing and put the result in a square root thingie (x+8)^2=x^2+16x+64 [tex] \sqrt{x^2+16x+64} [/tex] multiply the whole thing by 4/4 and put [tex] \sqrt{16} [\tex] on top so then [tex] \sqrt{x^2+16x+64} [/tex] times [tex] \frac{ \sqrt{16} }{4} [/tex]=[tex] \frac{\sqrt{(16)(x^2+16x+64)}}{4} [/tex]=[tex] \frac{ \sqrt{16x^2+256x+1024} }{4} [/tex] to solve it, factor out the 16 in the square root and then square root 16 to get 4 then it will be (4 times square root of equation)/4=square root of equatio factor square root of equation and square root it and get x+8 divide by 2 to get 1/2x+4


B: 1/2x+4
put stuff that cancels out
1/2x+3x-3x+4+56-56
move them around
3 and 1/2x-3x+60-56
or
2x-3x+1 and 1/2x+30-20+30-36
then just add like terms to solve