Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?
2 answers:
Answer:
x = 4 ± 
Step-by-step explanation:
Given
x² - 8x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 3 + 16
(x - 4)² = 19 ( take the square root of both sides )
x - 4 = ± ( add 4 to both sides )
x = 4 ±
Answer:
Step-by-step explanation:
x²-8x=3
add (-4)² or 16
x²-8x+16=3+16
(x-4)²=19
x-4=±√19
x=4±√19
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