when the square of a number is increased by 10, the result is seven times the original number. find the number

Answer 1

x ^ 2 + 10 = 7 x Subtract 7 x to both sides

x ^ 2 + 10 - 7 x = 7 x - 7 x

x ^ 2 - 7 x + 10 = 0

Now you must solve this quadratic equation.

The solutions are :

x = 2 and x = 5

Proof :

2 ^ 2 + 10 = 4 + 10 = 14 = 7 * 2

5 ^ 2 + 10 = 25 + 10 = 35 = 7 * 5