Solve the quadratic equation by completing the square. What are the missing pieces to the steps?

–27 = 4x2 – 24x

–27 = 4(x2 – 6x)

–27 + = 4(x2 – 6x + 9)

9 = 4(x – 3)2

= (x – 3)2

± = x – 3

= x

x = 1.5, 4.5

Step-by-step explanation:

We have to solve the equation by completing the square

-27 = 4x² - 24x

-27 = 4(x² - 6x)

By adding 36 on both the sides of the equation,

-27 + 36 = 4(x² - 6x + 9)

9 = 4(x - 3)²

Divide by 9 on both the sides of the equation,

= (x - 3)²

Now we take the square root on both the side of the equation,

= (x - 3)

x = 3 ± 1.5

x = 1.5, 4.5

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl