Doing factorization, we know that the factors of the given equation are ±√5 and ±10i.
<h3>
What is Factorization?</h3>
In mathematics, factorization or factoring consists of writing a number or any mathematical item as a product of several factors, typically small or easier objects of the same.
For example, 3 × 5 is a factorization of an integer 15 and is a factorization of an equation x² – 4.
So, we have the equation:
x⁴ + 95x² – 500 = 0
Factorizing the above equation:
x⁴ + 100x² - 5x² - 500 = 0
x²(x² + 100) - 5(x² + 100) = 0
(x² - 5)(x² + 100) = 0
Solving further:
x² = 5
x² = -100
x = ±√5
x = √-100
Factors: ±√5 and ±10i
Therefore, doing factorization, we know that the factors of the given equation are ±√5 and ±10i.
Know more about Factorization here:
brainly.com/question/25829061
#SPJ4
Complete question:
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.
x=+- sqrt 5 and x = ±10
x=+- sqrt i5 and x = ±10i
x=+- sqrt 5 and x = ±10i
x=+- sqrt i5 and x = ±10
Answer:
Step-by-step explanation:
Air pressure is measured in pascals. For a professional American football game, the ball should be inflated to about 90,000 pascals. Scientists studied the effects of air temperature on the pressure inside American footballs by taking these steps:
1. Prepare 100 footballs.
2. Measure each football's air pressure.
3. Divide footballs into 10 groups.
4. Place the groups in different lockers cooled to different air temperatures.
5. After 12 hours, remove the footballs from lockers.
6. Measure each football’s pressure again.
7. Compare the new pressures to the starting pressures.
What two terms best describe the variable "air pressure inside the football" in this experiment?
independent, qualitative
independent, quantitative
dependent, qualitative
dependent, quantitative
Answer:
u need 2 equation to solve
Step-by-step explanation:
