The equation that best set up the quadratic formula is [tex]x = \frac{ -(-2) |+-| \sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex].
Hence, option A is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Using the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
x² + 1 = 2x – 3
First we re-arrange the the equation.
x² + 1 = 2x - 3
x² - 2x + 1 + 3 = 0
x² - 2x + 4 = 0
Hence;
Next we input this values into the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
x = (-(-2)±√((-2)² - 4(1)(4))) / (2(1))
[tex]x = \frac{ -(-2) |+-| \sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
The equation that best set up the quadratic formula is [tex]x = \frac{ -(-2) |+-| \sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex].
Hence, option A is the correct answer.
Learn more about quadratic equations here: brainly.com/question/1863222
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