Steps to complete the square used to solve the equation were discussed.
The given quadratic equation is:
[tex]5x+1=2x^{2} +9x[/tex].....(1)
What is a quadratic equation?
Any equation of the form [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex] called a quadratic equation.
Rearranging the equation (1):
[tex]2x^{2} +9x-5x=1[/tex]
[tex]2x^{2} +4x=1[/tex]
[tex]2x^{2} +4x+2=1+2[/tex]
[tex]2x^{2} +4x+2=3[/tex]
[tex]2(x^{2} +2x+1)=3[/tex]
[tex]2(x+1)^2=3[/tex]........(2)
So, the required answer is equation (2).
Hence, steps in the process of completing the square used to solve the equation were discussed.
To get more about quadratic equations visit:
https://brainly.com/question/1214333
