Question

the difference between a positive and its square is 56 find the number

Answer 1

Answer:

Step-by-step explanation:

1. x - x^2 = 56

2. Subtract 56 from both sides leaves us x -x^2 -56 =0; rearranging gives us x^2-x-56=0  

3. Note that the equation in step 2 is a quadratic equation.

4. Factoring the equation gives us (x-8)*(x+7) = 0

5. Therefore x= +8, and x =- 7.

Answer 2

The number is 8

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Verification

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$( {8}^{2} ) - 8 = 56 \\ \\ 64 - 8 = 56 \\ \\ 56 = 56$