Question

Translate this problem to an equation and solve.If a number is subtracted from its square, the result is 2. Find the number. @Noura11

Answer 1

Let be x that number !
Then we can write :
\[x^2-x=2\]
then :
\[x^2-x-2=0\]
So :
\[\Delta=(-1)^2-4\times(-2)=9\]
So :
\[x_1=\frac{1+\sqrt9}{2}=4\\
x_2=\frac{1-\sqrt9}{2}=-1
\]
So there are two numbers verifies the problem !