Five times the square of the difference between a number and 5 is -20 find the numbers

The numbers are  ( 5 + 2i )  and ( 5 - 2i )

Step-by-step explanation:

Given equation as :

Let The number be x

so, 5 × ( x - 5 )² = - 20

or,  5 × ( x² - 10 x + 25 ) = - 20

or, 5 x² - 50 x + 125 = - 20

or, 5 x² - 50 x + 125 + 20 = 0

Or, 5 x² - 50 x + 145 = 0

Or, x² - 10 x + 29 = 0

Now from quadratic equation

x =

Or,  x =

Or,  x =

Or, x =

∴ x  = ( 5 + 2i )  and ( 5 - 2i )

Hence  The numbers are  ( 5 + 2i )  and ( 5 - 2i )  Answer

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