Multiple choice

When solved using the quadratic formula, the solutions to the equation $3x^{2} - 4x - 6 = 0$, rounded to the nearest hundredth, are

  1. $2.46, -3.79$
  2. $2.23,-0.90$
  3. $3.79,-2.46$
  4. $0.90,-2.23$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

x = [-b +/- sqrt(b^2 - 4ac)] / 2a. x = [4 +/- sqrt(16 - 4*3*(-6))] / 6 = [4 +/- sqrt(16 + 72)] / 6 = [4 +/- sqrt(88)] / 6. sqrt(88) approx 9.38. x1 = (4+9.38)/6 = 2.23. x2 = (4-9.38)/6 = -0.90.

AI explanation

Using the quadratic formula for 3x^2 - 4x - 6 = 0, we find x = (4 plus or minus the square root of (16 + 72)) divided by 6. This simplifies to x = (4 plus or minus the square root of 88) divided by 6, which gives x = (4 plus or minus 9.38) divided by 6. Calculating the two values results in approximately 2.23 and -0.90. The solutions are 2.23 and -0.90.

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