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3 years ago

What is the solution to the following equation?

Mathematics

1 answer:

nexus9112 [7]3 years ago

8 0

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

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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