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UNO [17]
3 years ago
10

What are the solutions of the equation x^4+ 95x^2-500=0? Use factoring to solve

Mathematics
2 answers:
Westkost [7]3 years ago
7 0

Answer:

x^4+100x^2-5x^2-500=0

x^2(x^2+100)-5(x^2+100)=0

(x^2+100)(x^2-5)=0

from first expression

x^2+100=0

x^2=-100

x= root under -100

Therefore x=-10

from next expression

x^2-5=0

x^2=5

Or x=2.23

Step-by-step explanation:

levacccp [35]3 years ago
3 0

Answer:

x = ± sqrt(5)

x = ±10i

Step-by-step explanation:

x^4+ 95x^2-500=0

What two numbers multiply to -500 and add to 95

-5 * 100 = -500

-5 +100 = 95

(x^2 - 5) (x^2 + 100) = 0

Using the zero product property

x^2 -5 =0          x^2 +100 =0

x^2 -5+5 =0      x^2 +100-100 = 0-100

x^2 =5               x^2 = -100

Take the square root of each side

x = ± sqrt(5)       x = imaginary numbers

                           x = ±10i

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2 years ago
Q3.
umka2103 [35]

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Step-by-step explanation:

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3 years ago
A sales person earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns 4,800
AURORKA [14]
Assign variables to you unknowns.

c = $ cars
t = $ trucks

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use substitution or elimination to solve the system of equations.

using elimination.. multiply second equation by -3 and add to the other to combine equations into one.

6c + 3t = 4800
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---------------------------
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question asks
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2 years ago
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2 years ago
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