The product of a number decreased by 1 and the same number increased by 2 is 70. Find all numbers that satisfy this condition.The solution set is(Use a comma to separate answers as needed.)

Respuesta :

Write the relation given in statement as follows.

[tex](x-1)(x+2)=70[/tex]

On solving this,

[tex]\begin{gathered} x^2-x+2x-2=70 \\ x^2+x-2-70=0 \\ x^2+x-72=0 \end{gathered}[/tex]

Write this equation as (x+9)(x-8)=0

Hence the solution set is

[tex]\mleft\lbrace-9,8\mright\rbrace[/tex]