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Rufina [12.5K]
3 years ago
5

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?

Mathematics
2 answers:
yawa3891 [41]3 years ago
6 0

Answer:

(4-\sqrt{19},4+\sqrt{19)

Step-by-step explanation:

we have

x^{2} -8x=3

Divide the coefficient of term x by 2

-8/2=-4

Squared the number

(-4)^2=16

Adds the number 16 to the both sides

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

x^{2} -8x+16=19

Rewrite as perfect squares

(x-4)^{2}=19

take square root both sides

(x-4)=(+/-)\sqrt{19}

x=4(+/-)\sqrt{19}

x_1=4(+)\sqrt{19}

x_2=4(-)\sqrt{19}

therefore

The solution set is

(4-\sqrt{19},4+\sqrt{19)

77julia77 [94]3 years ago
5 0

Answer:

its A

Step-by-step explanation:

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