The solutions for the given quadratic equation are x = -1 and x = 3. So, option B is correct.
<h3>What are the solutions to an equation?</h3>
- The solutions to an equation are the one that satisfies the equation and makes it true.
- There are different methods to solve an equation and find its solutions.
- These solutions are also called zeros or roots of the equation.
<h3>Calculation:</h3>
The given equation is 4x² - 8x - 12 = 0
Since it is a quadratic equation, it has 2 roots or solutions.
On factorizing the given equation,
4x² - 8x - 12 = 0
⇒ 4x² - 12x + 4x -12 = 0
⇒ 4x(x - 3) + 4(x - 3) = 0
⇒ (4x + 4)(x - 3) = 0
According to the zero-product rule,
4x + 4 = 0 or x - 3 = 0
So, x = -4/4 = -1 or x = 3
Therefore, the solutions of the given equation are -1 and 3.
So, option B) x = -1 and x = 3 is correct.
Learn more about solving an equation here:
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B - 3A = 2
3B - 6A = 12
(2)B - (6)A =4
3B - 6A = 12
Subtract
-B = -8
B = 8
Plugin 8 for B
8 - 3A = 2
8 = 3A + 2
6 = 3A
2 = A
(Double checking)
3(8) - 6A = 12
-6A = 12-24 = -12
- 6A = -12
Divide by -6
A= 2
It works
A = 2. B = 8. Hope this helps
Answer:
6(8w + 7x)
Step-by-step explanation:
Hello!
The greatest common factor between 48 and 42 is 6. We can factor out 6 from each term.
<h3>Factor</h3>
- 48w + 42x
- 6(8w) + 6(7x)
- 6(8w + 7x)
The expression is 6(8w + 7x).
Answer:
the bottom one is 1 the second one is 46 and the top one is 500
Step-by-step explanation:
Qualitative. It describes the 'quality' of each movie, not the amount of movies seen or their ages.
