Answer: To solve a quadratic equation of the form ax^2 + bx + c = 0, there are several steps that Inga could use. Here are three options:
She could complete the square to rewrite the equation in the form (x + p)^2 = q.
She could use the quadratic formula: x = (-b +/- √(b^2 - 4ac)) / (2a).
She could factor the equation to rewrite it in the form (x + r)(x + s) = 0.
Option 1: Completing the square
To complete the square, Inga could add and subtract (b/2)^2 to the equation to get:
a(x^2 + bx + (b/2)^2) - (b/2)^2 = 0
Then, she could rewrite the equation in the form:
a(x + (b/2))^2 = (b/2)^2
Option 2: Using the quadratic formula
To use the quadratic formula, Inga could substitute the values of a, b, and c into the formula to get:
x = (-12 +/- √(12^2 - 4 * 2 * -3)) / (2 * 2)
= (-12 +/- √(144 + 24)) / 4
= (-
Explanation: