contestada

What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
2x2+ 40 = -8x

What is the intermediate step in the form x a2 b as a result of completing the square for the following equation 2x2 40 8x class=

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altavistard

Answer:

Step-by-step explanation:

Simplify this problem by dividing all three terms by 2:

x^2 + 20 = -4x

Rewrite this in standard form:

x^2 + 4x + 20

Take the coefficient of the x term and divide it by 2:  4/2 = 2

Square this result:  2^2 = 4

Between x^2 + 4x  and  20  add this 4, then subtract it:

x^2 + 4x + 4 - 4

Rewrite x^2 + 4x + 4 as the square of a binomial:

(x + 2)^2 - 4, or (x + 2)^2 = 4