Question

Which of the following are roots of the quadratic equation $6x^2-x-2=0$?

• A. $\frac{1}{3}$ and $-\frac{2}{3}$
• B. $4$ and $-3$
• C. $\frac{2}{3}$ and $-\frac{1}{2}$
• D. $\frac{1}{2}$ and $-\frac{2}{3}$

Hint:

For quadratic equations of the form: \[ ax^2+bx+c=0 \] while factorization:
• Multiply \(a\) and \(c\)
• Find two numbers whose product is \(ac\)
• Their sum should equal \(b\) This makes middle-term splitting very easy.

Answer 1

The Correct Option is C