Respuesta :

Subtract 3 from both sides. Divide each term by 4, Then find a value that’s is equal to the square of half of b, (b/2)^2
And add it to each side of the equation. Factor the perfectly trinomios square and solve for x. Answer is x= square root of 13/2 -2 and negative square root of 13/2-2. Two answers

Maya should Isolate the variable x² option (A) Isolate the variable x² is correct.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Maya is solving the quadratic equation by completing the What should Maya do first? square.

4x² + 16x + 3 = 0

  • Isolate the variable x².
  • Subtract 16x from both sides of the equation.
  • Isolate the constant.
  • Factor 4 out the variable terms.

We have a quadratic equation:

4x² + 16x + 3 = 0

To make the perfect square

Maya should do first:

Isolate the variable x²

To make the coefficient of x² is 1.

4(x² + 4x + 3/4) = 0

x² + 4x + 3/4 = 0

x² + 4x + 2² - 2² +  3/4 = 0

(x + 2)² - 4 + 3/4 = 0

(x + 2)² = 13/4

x + 2 = ±√(13/4)

First, take the positive and then the negative sign.

x = √(13/4) - 2

x = -√(13/4) - 2

Thus, Maya should Isolate the variable x² option (A) Isolate the variable x² is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

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