Question

select the correct answer.

consider this quadratic equation.

(x^2 + 1 = 2x - 3)

which expression correctly sets up the quadratic formula?

(\frac{-(-2) pm sqrt{(-2)^2 - 4(1)(4)}}{2(1)})

(\frac{-(-2) pm sqrt{(-2)^2 - (1)(4)}}{2(2)})

(\frac{-2 pm sqrt{(-2)^2 - 4(1)(4)}}{2(1)})

(\frac{-2 pm sqrt{(2)^2 - 4(1)(-2)}}{2(1)})

Explanation:

Rearrange the quadratic equation into standard form

$$
LATEXBLOCK0
$$

Identify the coefficients

$$ a = 1, \quad b = -2, \quad c = 4 $$

Substitute coefficients into the quadratic formula

$$
LATEXBLOCK1
$$

Answer:

• (A) \(\frac{-(-2) \pm \sqrt{(-2)^2 - 4(1)(4)}}{2(1)}\) (Correct answer)
• (B) \(\frac{-(-2) \pm \sqrt{(-2)^2 - (1)(4)}}{2(2)}\)
• (C) \(\frac{-2 \pm \sqrt{(-2)^2 - 4(1)(4)}}{2(1)}\)
• (D) \(\frac{-2 \pm \sqrt{(2)^2 - 4(1)(-2)}}{2(1)}\)