# What is the vertex form of #y= (5x+2)^2 + 11x(5x+2)+30#?

##### 2 Answers

#### Explanation:

Let us first simplify this.

#=25x^2+20x+4+55x^2+22x+30#

#=80x^2+42x+34#

#=80(x^2+42/80x)+34#

#=80(x^2+2xx21/80x+(21/80)^2-(21/80)^2)+34#

#=80(x^2+21/80)^2-(21/80)^2xx80+34#

#=80(x^2+21/80)^2-441/80+34#

#=80(x^2+21/80)^2+2279/80#

which is in vertex form and vertex is

graph{80x^2+42x+34 [-2, 2, -10.9, 149.1]}

#### Explanation:

Let us first simplify this.

#=25x^2+20x+4+55x^2+22x+30#

#=80x^2+42x+34#

#=80(x^2+42/80x)+34#

#=80(x^2+2xx21/80x+(21/80)^2-(21/80)^2)+34#

#=80(x^2+21/80)^2-(21/80)^2xx80+34#

#=80(x^2+21/80)^2-441/80+34#

#=80(x^2+21/80)^2+2279/80#

which is in vertex form and vertex is

graph{80x^2+42x+34 [-2, 2, -10.9, 149.1]}