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Solvex - 8x= 3 by completing the square. Which is the solution set of the equation?

User Crayl
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1 Answer

3 votes

Answer:

x = 4±sqrt(19)

Explanation:

Assuming you meant x^2 -8x = 3

Take the coefficient of x

-8

Divide by 2

-8/2 =-4

Square it

(-4)^2 = 16

Add this to each side

x^2 -8x +16= 3+16

The number inside the square term is the coefficient divided by 2

(x-4)^2=19

Take the square root of each side

sqrt((x-4)^2=±sqrt(19)

x-4 = ±sqrt(19)

Add 4 to each side

x-4+4 = 4±sqrt(19)

x = 4±sqrt(19)

User Juminoz
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