What is the solution to the following equation?
1 answer:
Answer:
The answer to your question is the letter B. x = 6
Step-by-step explanation:
Data
4x² - 48x = -144
Process
1.- Equal to zero
4x² - 48x + 144 = 0
2.- Multiply 4 by 144
4 x 144 = 576
3.- Find the prime factors of 576
576 2
288 2
144 2
72 2
36 2
18 2
9 3
3 3
1
4.- Find two numbers that added gives -48,
these numbers are -24 and -24
5.- Write the equation using these numbers
4x² -24x - 24x + 144 = 0
6.- Factor by grouping
4x(x - 6) - 24(x - 6)
7.- Factor by like terms
(x - 6)(4x - 24)
8.- Find the solutions
x - 6 = 0 4x - 24 = 0
x = 6 4x = 24
x = 24/4
x = 6
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