y x2 5 y 6x Do two cases y 6x and y 6xSolutiongiven y

{y = x^2 + 5 y = |6x| Do two cases: y = 6x and y = -6x.

Solution

given y = x^2 +5 , y=|6x|

so both equations left handside we have y so we can equal the righthand side also

so x^2 +5 = |6x|

x^2 +5 = 6x when x >0

x^2 -6x +5=0

x^2 -5x-x+5=0

x(x-5)-1(x-5)=0

(x-1)(x-5)=0

so (x-1) =0 or (x-5)=0

(x-1) =0 or (x-5)=0

x=1 or x=5

when x <0

x^2 +5 =-6x

x^2 +6x +5=0

x^2 +5x+x+5=0

x(x+5)+1(x+5)=0

(x+1)(x+5)=0

so (x+1) =0 or (x+5)=0

x=-1 or x=-5

 {y = x^2 + 5 y = |6x| Do two cases: y = 6x and y = -6x.Solutiongiven y = x^2 +5 , y=|6x| so both equations left handside we have y so we can equal the righthan

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