Question

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9

Answer 1

The correct steps Inga could use to solve the quadratic equation 2x^2 + 12x - 3 = 0 are:

Use the quadratic formula, which states that x = [-b ± √(b^2 - 4ac)] / 2a, where a, b, and c are the coefficients of the quadratic equation.
Substitute the values of a, b, and c into the formula and simplify to get the values of x.
Factor the quadratic equation by finding two numbers that multiply to give ac (in this case, -6) and add to give b (in this case, 12). Use these numbers to rewrite the quadratic equation as (2x - 1)(x + 3) = 0 and solve for x.
Therefore, the options given do not correctly represent the steps to solve the quadratic equation.