How do you solve #30x² + 5x - 10 = 0#?
I use the new Transforming Method (Google, Yahoo Search).
Roots have opposite signs (Rule of signs).
Factor pairs of (-300): ...(-10, 30)(-15, 20). This sum is 5 = b. Then the 2 real roots of (2) are the opposite: y1 = 15 and y2 = -20 .
Back to original equation (1), the 2 real roots are:
NOTE. This method avoid the lengthy factoring by grouping and solving the 2 binomials.