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TEA [102]
2 years ago
7

Solve x2-4x-7=0 by completing the square ​

Mathematics
2 answers:
aleksklad [387]2 years ago
8 0
HEY mate here is pratyush from India for your help...

the answer is with the attachment

hope it helps you..

tatyana61 [14]2 years ago
7 0

Answer:

x = 2 ± \sqrt11}

Step-by-step explanation:

Given

x² - 4x - 7 = 0 ( add 7 to both sides )

x² - 4x = 7

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(- 2)x + (- 2)² = 7 + (- 2)²

(x - 2)² = 7 + 4 = 11 ( take the square root of both sides )

x - 2 = ± \sqrt{11} ( add 2 to both sides )

x = 2 ± \sqrt{11} ← exact solutions

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