Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
1 answer:
Answer:
{ - 12, 2 }
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± = ± 7 ( subtract 5 from both sides )
x = - 5 ± 7
Thus
x = - 5 - 7 = - 12
x = - 5 + 7 = 2
Solution set is { - 12, 2 }
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Step-by-step explanation:
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The equation to show the depreciation at the end of x years is
Data;
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This is an equation written to represent a word problem into mathematical statement and this is easier to solve.
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For example, after 5 years, the value of the machine would become
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From the above, the equation to show the depreciation at the end of x years is f(x) = 1500 - 200x
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