if a number is subtracted from its square, the result is 132. find the number

The number is either -11 or 12Step-by-step explanation:Let x be the numberThenAccording to: "if a number is subtracted from its square, the result is 132"[tex]x^2-x = 132\\x^2-x-132 = 0[/tex]Making factors of 132 that add up to -1[tex]x^2-12x+11x-132 = 0\\x(x-12)+11(x-12) = 0\\(x-12)(x+11) = 0\\x-12 = 0 => x = 12\\x+11 = 0 => x=-11[/tex]Putting x=-11 in [tex]x^2-x = 132\\(-11)^2-(-11) = 132\\121+11 = 132\\132 = 132[/tex]Putting x = 12[tex]x^2-x = 132\\(12)^2 - 12 = 132\\144-12 = 132\\132 = 132[/tex]Hence,The number is either -11 or 12Keywords: factorization, variablesLearn more about factorization at:brainly.com/question/4695279brainly.com/question/4703807#LearnwithBrainly