1) given x^4 + 95x^2 - 500
2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )
3) find two numbers that add up 95 and their product is - 500:
=> 100*(-5) = - 500 and 100 - 5 = 95
=> (x^2 + 100)(x^2 - 5)
4) factor x^2 - 5 = (x + √5) (x - √5)
5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)
6) find the solutions:
x^2 + 100 = 0 => not possible
x + √5 = 0 => x = - √5
x - √5 = 0 => x = √5
Answer: x = √5 and x = - √5
The equations have operations, variable, an equal sign in common.
<h3>What is an Equation?</h3>
An equation is a mathematical expression that contains an equals symbol.
As per the definition, the equation contain operations, variable, an equal sign. That means whatever be the equation then it must contain operations, variable, an equal sign.
So, all the equations have operations, variable, an equal sign these three things in common.
For example: 4a+b=0
Learn more about equation here:
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360 kilometers is 24 percent of 1500 kilometers. Hope it help!
Its asking for the units being used so the answer is Inches
Answer:
<em>Good luck!</em>
Step-by-step explanation:
