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

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

Answer 2

Answer:

can you explain it in more depth please

Step-by-step explanation: