Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?(4 minus StartRoot 19 EndRoot comma 4 + StartRoot 19 EndRoot)(4 minus StartRoot 11 EndRoot comma 4 + StartRoot 11 EndRoot)(4 minus StartRoot 8 EndRoot comma 4 + StartRoot 8 EndRoot)(4 minus StartRoot 3 EndRoot comma 4 + StartRoot 3 EndRoot)
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Answer:
Answer:x = 4 ± [tex]\sqrt{19}[/tex]Step-by-step explanation:Givenx² - 8x = 3To complete the squareadd ( half the coefficient of the x- term )² to both sidesx² + 2(- 4)x + 16 = 3 + 16(x - 4)² = 19 ( take the square root of both sides )x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )x = 4 ± [tex]\sqrt{19}[/tex], that isx = 4 - [tex]\sqrt{19}[/tex], 4 + [tex]\sqrt{19}[/tex]
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