In the equation (he)^2 = she the letters represent digits.Find replacements for the letters to make the statement true.
25^2 = 625
I don't understand
d alphabets numbers are not correct
To solve this problem, we need to find digit replacements for the letters 'h' and 'e' in the equation (he)^2 = she, so that the equation is true.
Let's approach this systematically. We will consider all possible values for 'h' and 'e' ranging from 0 to 9, and check if any combination satisfies the equation.
1. Substitute 'h' and 'e' with numeric values:
(10h + e)^2 = (10e + h)
2. Expand and simplify the equation:
100h^2 + 20he + e^2 = 100e + 10h + h
3. Rearrange the equation to:
100h^2 + 20he + e^2 - 100e - 10h - h = 0
Now we can try all possible values for 'h' and 'e'. Starting from 'h' = 0 and 'e' = 0, we increment each value until we find a solution.
If we try 'h' = 0, 'e' = 0, we get:
0 + 0 + 0 - 0 - 0 - 0 = 0
This is a valid solution, but we need to consider replacements for 'h' and 'e' as digits, so we can't use 0.
Continuing our search, we find the solution when 'h' = <--(6), and 'e'= 9:
(10*6 + 9)^2 = (10*9 + 6)
(69)^2 = 96
Therefore, the replacements for 'h' and 'e' that make the equation (he)^2 = she true are h = 6 and e = 9.
Please note that this specific solution is obtained through a trial-and-error method. There may be other combinations of 'h' and 'e' that satisfy the equation, but this is one possible solution.