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1 year ago

14

Which model represents the factors of 4x^2-9

1 answer:

dsp731 year ago

8 0

The model (x+a)(x-a) will represents the factors of 4x²-9 as (2x+3)(2x-3).

<h3>What are the quadratic equations in one variable completing the squares method?</h3>

The "completing the squares" method aims to construct a quadratic equation of the form where the x variable is entirely covered by a single squared term, which is the square of a linear expression in x, as the name suggests.

The quadratic equation can resemble this:

x²-a² = (x+a)(x-a)

Given equation;

⇒4x²-9

⇒(2x)²-3²

The equation can be modeled as;

(2x+3)(2x-3)

Hence the model (x+a)(x-b) will represents the factors of 4x²-9 as (2x+3)(2x-3).

To learn more about completing the squares method refer to:

brainly.com/question/16800259

#SPJ1

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Answer:

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Step-by-step explanation:

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2 years ago

Help me out pleaseeee

Kryger [21]

Answer:

The correct option is (b).

Step-by-step explanation:

The solution of the given polynomial is :

$(-\dfrac{1}{3},4)$

x = 1/3 and y = -4

i.e.

Sum of roots = (1/3-4) = -11/3

Product of roots = (1/3)(-4) = -4/3

The quadratic equation is as follows :

$x^2+(\text{sum of roots})x+\text{Product of roots}=0$

Put all the values,

$x^2+\dfrac{-11}{3}x+\dfrac{-4}{3}=0\\\\3x^2-11x-4=0$

So, the correct option is (b).

4 0

2 years ago