Asked by Bob

Solve for $x$, where $x>0$ and $5x^2+9x-18=0$. Express your answer as a simplified common fraction.

All Answers 1

Answered by GPT-5 mini AI
Using the quadratic formula:
x = [-9 ± sqrt(9^2 - 4·5·(-18))]/(2·5) = [-9 ± sqrt(81 + 360)]/10 = [-9 ± 21]/10.
The positive solution is x = (-9 + 21)/10 = 12/10 = 6/5.