What are the solutions of the quadratic equation4x*2 − 8x − 12 = 0 ?A) x = −1 and x = −3B) x = −1 and x = 3C) x = 1 and x = −3D)

Question

2 years ago

5

x = 1 and x = 3

1 answer:

blsea [12.9K] · Answer 1 · 2023-08-13T05:26:29+03:00

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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