Answer:
smallest value of x = -1
Largest value of x = 7
Step-by-step explanation:
[tex]x^2-6x=7[/tex]
coefficient of x = -6
Half of the coefficient of x = -6/2 = -3
Square of the half value [tex]=(-3)^2=9[/tex]
Add the square value on both sides of equation
[tex]x^2-6x+9=7+9[/tex]
[tex](x-3)^2=16[/tex]
Take square root
[tex]x-3= \pm \sqrt{16}[/tex]
[tex]x-3= \pm 4[/tex]
[tex]x-3=+4[/tex] or [tex]x-3=-4[/tex]
[tex]x=+4+3[/tex] or [tex]x=-4+3[/tex]
[tex]x=7[/tex] or [tex]x=-1[/tex]
Hence smallest value of x = -1
Largest value of x = 7
