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Complete the square to transform the quadratic equation into the form (x – p)2 = q. X2 - 8x - 10 = 18 A) (x - 8)2 = 14 B) (x - 4)2 = 44 C) (x - 8)2 = -14 D) (x - 4)2 = -44

Respuesta :

calculista

Answer:

Option B. [tex](x-4)^{2}=44[/tex]

Step-by-step explanation:

we have

[tex]x^{2}-8x-10=18[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]x^{2}-8x=18+10[/tex]

[tex]x^{2}-8x=28[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]x^{2}-8x+16=28+16[/tex]

[tex]x^{2}-8x+16=44[/tex]

Rewrite as perfect squares

[tex](x-4)^{2}=44[/tex]

Answer:

b

Step-by-step explanation:

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