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wlad13 [49]
4 years ago
9

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 =_________
Mathematics
2 answers:
Nostrana [21]4 years ago
8 0
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

Misha Larkins [42]4 years ago
7 0

Answer:

can you explain it in more depth please

Step-by-step explanation:


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