Question

Question #12803

Answer 1

`5x^2+8x-6`

Explanation:

`"assuming you mean to simplify"`

`4x^2+5x+x^2+3x-6`

`"we simplify the expression by "color(blue)"collecting like terms"`

`"like terms are terms which contain the same variable (letter)"`

`"note that "x^2=x xx x`

`"and is different to a term only containing x"`

`rArrcolor(red)(4x^2)color(blue)(+5x)color(red)(+x^2)color(blue)(+3x)-6`

`"to collect like terms we add the "color(magenta)"coefficients"`
`"of the numbers in front of the variables"`

`=(color(red)(4x^2+1x^2))+(color(blue)(5x+3x))-6`

`=color(red)(5x^2)color(blue)(+8x)-6`

Answer 2

You mean: `4x^2+5x+x^2+3x-6`

Explanation:

`5x^2+8x-6`

Since I don't know what to do with it.... I guess:

1. `5x^2+8x-6=0`

`x_(1,2)=(-b+-sqrt(b^2-4ac))/(2a)`

`x_(1,2)=(-8+-sqrt(64-4*5*(-6)))/(2*5)=(-8+-sqrt(64+120))/(2*5)`

`x_(1,2)=(-8+-sqrt(184))/(2*5)=(-4*cancel2+-cancel2sqrt(46))/(cancel2*5)`

`x_(1,2)=(-4+-sqrt(46))/(5)`

`[x-((-4-sqrt(46))/5)]*[x-((-4+sqrt(46))/5)]=0`