Type the correct answer in each box. use numerals instead of words.
consider the quadratic equation x2 + 10x + 27 = 0.

completing the square leads to the equivalent equation (x +__ )^2 = __

  (x +5)^2 = -2

Step-by-step explanation:

We can subtract the constant to get ...

  x^2 +10x = -27

Then add the square of half the x-coefficient:

  x^2 +10x +5^2 = -27 +5^2

  (x +5)^2 = -2 . . . . . . write as a square

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

25/6

step-by-step explanation:

you multiply 4 by the denominator (4*6=24) and add it to the numerator which makes it 25/6.