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Gio is solving the quadratic equation by completing the square. 5x2 15x – 4 = 0 what should gio do first? isolate the constant. factor 5 out of the variable terms. isolate the variable x. add 9 to both sides of the equation.

Respuesta :

The complete square of the given polynomial is

[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]

What is the completing the square method?

For solving the quadratic equation by completing the square, we first need to ensure that the constant of the square variable is unit.

Following are the steps involved

[tex]5x^2+15x-4=0[/tex]

divide both side by 5

[tex]x^2+3x-\frac{4}{3}=0[/tex]

add 9 on both sides of the equations

[tex]x^2+3x-\frac{4}{3}-9/4+ 9/4=0[/tex]

[tex]x^2+3x+ 9/4=\frac{4}{3}+9/4\\(x+3/2)^2=43/12[/tex]

Therefore we the complete square of the given polynomial is

[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]

To learn more about the complete square method visit:

https://brainly.com/question/1673458

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