if 7 times a number is subtracted from the square of the number ,if the result is 30 .find the number

1 answer

x = number

If 7 times a number is subtracted from the square of the number the result is 30, means:

x² - 7 x = 30

Subtract 30 to both sides.

x² - 7 x - 30 = 0

The solutions are:

x = - 3 and x = 10

Check results.

For x = - 3

x² - 7 x = ( - 3 )² - 7 ( - 3 ) = 9 + 21 = 30

For x = 10

x² - 7 x = 10² - 7 ∙ 10 = 100 - 70 = 30