Question

What equation results from completing the square and then factoring x^2+16x =41

Answer 1

Answer:

Option C is correct

Step-by-step explanation:

Given the equation

$x^2+16x=41$

we have to find the equation results from completing the square.

For completing the square method, since the coefficient of $x^2$ is 1 therefore we have to divide the coefficient of x by 2 and then squaring of that value adding on both sides of equation, we get

Here coefficient of x is 16 therefore square of half the number adding both sides

$x^2+16x+64=41+64$

$x^2+8x+8x+64=105$

$x(x+8)+8(x+8)=105$

$(x+8)(x+8)=105$

$(x+8)^2=105$

Option C is correct

Answer 2

C

given x² + 16x = 41

to complete the square on this equation

since the coefficient of the x² term is 1

add (half the coefficient of the x-term )² to both sides

x² + 2(8)x + 64 = 41+ 64

(x + 8 )² = 105 → C