Steps in the process of completing the square used to solve the given equation were discussed.
Given equation is:
[tex]5x+1=2x^{2} +9x[/tex], which is a quadratic equation
Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
Taking all terms to the left side of the equation:
[tex]-2x^{2} -9x+5x+1=0[/tex]
[tex]-2x^{2} -4x+1=0[/tex]
[tex]2x^{2} +4x=1[/tex]
[tex]2(x^{2} +2x)=1[/tex]
To complete the square let us add 2 both sides
[tex]2(x^{2} +2x)+2=3[/tex]
[tex]2(x+1)^2=3[/tex].....(1)
So, equation (1) is the required answer.
Hence, steps in the process of completing the square used to solve the given equation were discussed.
To get more about quadratic equations visit:
https://brainly.com/question/1214333
