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4 years ago

By using the completing the squares method solve Xsquared-8x+3=0

Mathematics

2 answers:

svet-max [94.6K]4 years ago

8 0

Answer:

Step-by-step explanation:

x^2 -8x +3 = 0

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

(x-4)^2 = 13

x - 4 = (+/-)sqrt(13)

x = 4 +/- sqrt(13)

Aleonysh [2.5K]4 years ago

6 0

Answer:

x = 4 ± $\sqrt{13}$

Step-by-step explanation:

Given

x² - 8x + 3 = 0 ( subtract 3 from both sides )

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 = 13 ( take the square root of both sides )

x - 4 = ± $\sqrt{13}$ ( add 4 to both sides )

x = 4 ± $\sqrt{13}$

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