Question

(
the month of January?
Construct a word problem on quadratic equation so that one answer will be 15
Cage, metres, speed, rupees, etc). Solve the problem you have constructed.​

Answer 1

Step-by-step explanation:

Question: The product of the two consecutive natural numbers is 240.Find the numbers.

Solution:

Let the first consecutive number be 'x'

and the second consecutive number be 'x+1'

#According to the given condition.

$x(x + 1) = 240$

${x}^{2} + x - 240 = 0$

${x}^{2} + 16x - 15x - 240 = 0$

$x(x + 16) - 15 (x + 16)$

$(x + 16)(x - 15) = 0$

$x + 16 = 0 \: \: \: or \: \: x - 15 = 0$

$x = -16 \: \: or \: \: x = 15$

Since, x cannot be negative

Therefore, x=15

x+1= 15+1 =16

Therefore, the two consecutive numbers are 15 and 16