Question

if the difference of square of two consecutuve natural number is 93. Find the number.​

Answer 1

Answer:

numbers are 46 wnd 47

Step-by-step explanation:

hope it helps u

Answer 2

$\huge{\fbox{\pink{Answer:-}}}$

Given: Sum of the squares of two consecutive natural numbers is 313

To find: The numbers

Sol: Let 1 number be x. Since the numbers are consecutive, the other number would be x+1.

$squaring \: both \: sides \: and \:add \: together \: to \: equal \: 313 \\ \\ \implies {x}^{2} + {(x + 1)}^{2} = 313 \\ \implies {x}^{2} + {x}^{2} + 2x + 1 = 313 \\ \implies {2x}^{2} + 2x - 312 = 0 \\ \implies {x}^{2} + x - 156 = 0 \\ \implies( x - 12)(x + 13) = 0$

$\huge{\fbox{x = 12}}$

$\huge{\fbox{x = -13}}$

Given numbers are natural. So, x = 12 and x + 1 = 13 are the two numbers.