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 }
You might be interested in
Divide your lifestyle amount by the percentage:
33,000 / 0.70 = $47,142.86 ( Round the answer as needed.)
Answer: 4
Step-by-step explanation:
8m = 2*2*2*m
36m^3 = 2*2*3*3*m*m*m
12 = 2*2*3
GCF=2*2
Hope this helps!!
Answer:
The question says area of a square = 9 cm squared.
And they said if the sides are doubled in length what is the new length
so new length = 9 cm^2 × 9 cm^2
which should give you 81cm^2
therefore your answer should be = C
Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps
Answer:
Use inverse cos to solve for x.
hope this helps