The quadratic equation x2 – 2x – 3 = 0 by completing the square is x = 1, −3
What is a quadratic equation?
Quadratum, the Latin word meaning square, is where the word “quadratic” originates. An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
[tex]x^{2}[/tex]+2x−3 = 0
Add 3 to both sides of the equation.
[tex]x^{2}[/tex]+2x=3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.
(b/2)2=[tex](1)^{2}[/tex]
Add the term to each side of the equation.
[tex]x^{2}[/tex]+2x+[tex](1)^{2}[/tex]=3+[tex](1)^{2}[/tex]
Simplify the equation.
x2+2x+1=4
Factor the perfect trinomial square into [tex](x+1)^{2}[/tex]
[tex](x+1)^{2}[/tex]=4
Solve the equation for x.
x =1, −3
Hence, x =1, −3 is the correct answer.
Learn more about on quadratic equation, here:
https://brainly.com/question/17177510
#SPJ1
