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What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?

–6x2 - 235 = -48x + 11

Respuesta :

Answer:

6(x-5)2+288

Step-by-step explanation:

6x2-60x+438  Factor out a 6 from the first 2 terms.

6(x2-10x     )+438  Do (b/2)2 to find the c term.  (-10/2)2 = 25

6(x2-10x+25)+438-150   Adding 25 inside the parenthesis is really like adding 6(25)=150 to that side of the equation.  To keep the equation in balance, you have to subtract 150 from the other term.  Simplify

6(x-5)2+288

Answer:

6x2-60x+438  Factor out a 6 from the first 2 terms.

6(x2-10x     )+438  Do (b/2)2 to find the c term.  (-10/2)2 = 25

6(x2-10x+25)+438-150   Adding 25 inside the parenthesis is really like adding 6(25)=150 to that side of the equation.  To keep the equation in balance, you have to subtract 150 from the other term.  Simplify

6(x-5)2+288

Step-by-step explanation:

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