Question

7 times a number is 8 less than the square of that number. Find the negative solution ​

Answer 1

Answer:
`x = -1`

Explanation:

Let the number be x .

7 times the number implies
`7x`

7 times a number is 8 less than the square of that number , interpreting this , we have

`7x +8 = x^(2)`

re - arranging , we have :

`x^(2) - 7x - 8 = 0`

factorizing the quadratic expression , we have:

`(x-8)(x+1) = 0`

either
`(x-8) =0` or
`(x+1) = 0`

Therefore :

`x = 8` or
`x = -1`

Therefore , the negative solution is -1