Question

The product of a positive number and 14 more than seven times the number is 105. Find the two numbers. first number =______ and second number =_________

Answer 1

can you explain it in more depth please

Explanation:

Answer 2

Let the positive number be
`x`

The expression is

`x(14+7x)=105`⇒ expanding the bracket gives,

`14x+7 x^(2) =105` ⇒ rearranging to equate one side to zero

`7x^(2) +14x-105=0` ⇒ Dividing each term by 7 to simplify

`x^(2) +2x-15` ⇒ Factorising gives

`(x+5)(x-3)=0`

`x=-5` and
`x=3`

Hence, the first number is -5 and the second number is 3