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Solve the quadratic equation x2 – 10x + 14 = –4 by completing the square.
Question 3 options:

A)

x = 5 ±

B)

x = –5 ±

C)

x = –7 ±

D)

x = 7 ±

Sagot :

mathstudent55

Answer:

[tex] x = 5 \pm \sqrt{7} [/tex]

Step-by-step explanation:

x^2 - 10x + 14 = -4

Subtract 14 from both sides.

x^2 - 10x = -18

To complete the square, add the square of half of the x-term's coefficient.

x-term coefficient: -10

half of it: -5

squared: (-5)^2 = 25

Add 25 to both sides.

x^2 - 10x + 25 = -18 + 25

(x - 5)^2 = 7

Take square root of both sides. Be careful to include ± on the right side.

[tex] x - 5 = \pm \sqrt{7} [/tex]

Add 5 to both sides.

[tex] x = 5 \pm \sqrt{7} [/tex]

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