solime
solime solime
  • 18-01-2020
  • Mathematics
contestada

Complete the square for x^2+12x-5.

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 30-01-2020

Answer:

[tex]x^2+12x-5=(x+6)^2-41[/tex]

Step-by-step explanation:

The given expression is [tex]x^2+12x-5[/tex]

Comparing to [tex]ax^2+bx+c[/tex], we have [tex]a=1,b=12,c=-5[/tex]

We add and subtract [tex](\frac{b}{2a})^2[/tex]

[tex]x^2+12x+6^2-6^2-5[/tex]

This implies that:

[tex]\boxed{x^2+6x+36}-36-5[/tex]

The expression in the rectangle is a perfect square

[tex](x+6)^2-41[/tex]

Therefore [tex]x^2+12x-5=(x+6)^2-41[/tex]

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