Question #12803

2 Answers
Jim G.
Dec 12, 2017

#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#

kubik98
Dec 12, 2017

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#

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