We have
(a + b)² = a² + 2ab + b²
so that with a = x² and b = 5, we have
x⁴ + 10x² + 25 = (x² + 5)²
Next, we have
a² - b² = (a - b) (a + b)
so that with a = x and b = √5 i,
x² + 5 = x² - (-5) = (x - √5 i) (x + √5 i)
So, the complete factorization over the complexes is
(x - √5 i)² (x + √5 i)²
Answer:
Shifts it up c units.
Step-by-step explanation:
The '+ c' will move the whole graph upwards c units.
Answer:
The equation is an differential equation of second order.
The dependent variable is x, while t is the independent variable.
Step-by-step explanation:
The order of the equation depends on the greatest grade of the derivative, in this case it's the second derivative (x'')
Since x is a function of t, we would have that t is the independent variable while x is the dependent variable.
Answer:
32.1 pounds
Step-by-step explanation:
Given data
Percentage of body fat= 19.8%
Weight= 162pounds
Let us find 19.8% of the persons weight
=19.8/100*162
=0.198*162
=32.076
Therefore, 32.1 pounds of the weight is fat
Based on the calculations, the unknown number is equal to 
- Let the unknown number be x.
<h3>How to find an
unknown number:</h3>
Translate the word problem into an algebraic expression, we have;
Adding 21 to the unknown number:
Multiplying the result by 3:
84 more than two-thirds of the unknown number:
Equating the equations, we have:
Cross-multiplying, we have:
Read more on word problems here: brainly.com/question/13170908
