Question

37. A number is multiplied by half of itself and then 32
is added to the product. If the final result is 130,
then find the original number.
(a) 4
(b) 7
(c) 5
(d) 14​

Answer 1

Answer:

±14

Step-by-step explanation:

Let the original number be "x"

Then, according to question

(x × x/2) + 32 = 130

x²/2 + 32 = 130

x²/2 = 130 - 32

x²/2 = 98

x² = 196

x = √196

x = ±14