X^2 - 8x + 5 = 0
1 answer:
<h2>Answer:</h2>
√44
2 Real Roots
<h2>Step-by-step explanation:</h2>Looking at the image attached, the discriminant is the value under the square root.
In the equation given:
a = 1
b = -8
c = 5
The discriminant is therefore:
√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44
√44 is a positive number. Because it is positive, there must be 2 real roots.
If it were negative, there would be 2 imaginary roots.
If it were zero, there would be 1 real root.
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.... (1)
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.... (2)
a. Graphing both the equations give the intersection point (solution) as (4,500)
It means for 4 hours, the total cost of both the DJ's is same at $500.
b. Substitution Method.
Plug y = 125x in equation (1)
Hence, the total cost for 4 hours in both the service is $500.
c. Addition method.
Multiply equation (2) by -1
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Add euation (1) and equation (3)
Solution: For x = 4, y = 500 ( same as the previous two methods)
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For x = 2, equation (2)
Hence, for 2 hours, DJ B would be a better choice since it would charge $250.
For x = 6 hours, equation (1)
For x= 6, equation (2)
For 6 hours, DJ A would be better option since it charges $650 for 6 hours.
