Final answer:
To find the real roots of the equation 2x³ - x² - 7x² = 0, rearrange it to the standard form of a quadratic equation and use the quadratic formula to solve for x. The correct answers are A) x = -0.0224 and B) x = 0.0216.
Step-by-step explanation:
The student's equation appears to be a quadratic equation, and the real roots can be found using the quadratic formula. Upon applying the formula, each scenario (+ and -) is evaluated, and the real roots are rounded to three significant figures. The required particular equation should be clarified for an accurate answer.
To find the real roots of the equation 2x³ - x² - 7x² = 0, we first rearrange it to the standard form of a quadratic equation: x² +0.0211x -0.0211 = 0. Then, we can use the quadratic formula to solve for x. Plugging in the values of a, b, and c into the formula, we get the roots x = 0.0216 and x = -0.0224. Therefore, the correct answers are A) x = -0.0224 and B) x = 0.0216.