product of two numbers is 36 the sum is 37 what is the difference
urgent please
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Verified answer
AnsWer :
SolutioN :
Let,
Case 1.
→ x * y = 36.
Case 2.
→ x + y = 37.
Now, Taking Equation ( 1 )
→ x * y = 36.
→ y = 36 / x _____ ( 3 )
Now, Putting the value of x = 36 / y in Equation ( 2 )
→ x + y = 37.
→ x + 36/ x = 37.
→ x² + 36 = 37x.
→ x² - 37x + 36 = 0.
Compare With General Equation.
ax² + bx + c = 0.
Where as,
→ x² - 36x - x + 36 = 0.
→ x ( x - 36 ) - 1 ( x - 36 ) = 0.
→ ( x - 1 )( x - 36 ) = 0.
Either,
→ x - 1 = 0.
→ x = 1.
Or,
→ x - 36 = 0.
→ x = 36.
Now , putting the value of x = 36 and 1 in Equation ( 3 )
→ y = 36 / x.
→ y = 36 / 36.
→ y = 1.
Or,
→ y = 36 / 1.
→ y = 36.
Therefore, the value of number is x = 36 , 1 and y = 1 , 36.