Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
a= 1+2b, b=1-6, c=2/3d. Hope this helps, I used D as a number in C you don't have to use d.
The answer to this question is A. 12
The initial value of the Greg`s home: $328,500. If his home is predicted to increase in value 4% each year, that means that the value will rise 1.04 times every year.
The predicted value after 30 years:
$328,500 * ( 1 + 0.04 ) ^30 =
= $328,500 * 1.04^30 =
= $328,500 * 3.2434 =
= $1,065,456.
Answer: The predicted value of his home in 30 years is $1,065,456.
Answer:
Step-by-step explanation:
For #2, remember that 
, so 
Also, (a+b)(a-b), where a and b are any numbers, (a+b)(a-b)=
. Now, to simplify, or radicalize, a number with surds in the denominator, you have to multiply the denominator by its conjugate. If there is a complex number 
, where a and b are any numbers, the conjugate is always 
. Lets apply these rules. The conjugate of 4+6i is 4-6i, so do this:
Our answer is (28-3i)/(26)!
