Question

x² – 80x +784 = 0 find the roots of a equation ​

Answer 1

Question :-

x² – 80x +784 = 0 find the roots of a equation

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$\boxed{ \bf \: step \: by \: step \: solution}$

=> x²-80x+784 = 0

(Move constant to the right )

=> x²-80x=-784

(Add (-40)² to both sides )

=> x²-80x+1600=816

(factors calculate )

=> (x-40)²=816

(solve the equation )

=> x=40 - 4√51 or 4√51 + 40 (Answer)

[ their are two answers write x=40-4√51 or write x= 4√51+40 . both are correct ]

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Extra information ★

• Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.