Question

Which expression represents Shreedharacharya's Rule for the roots of \[ax^{2} + bx + c = 0\]?

Options

• \[x = \frac{-b \pm \sqrt{b^{2} + 4ac}}{2a}\]

• \[x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}\]

• \[x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{a}\]

• \[x = \frac{b \pm \sqrt{b^{2} - 4ac}}{2a}\]

Answer 1

Shreedharacharya's Rule gives \[x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}\]. The numerator contains \[-b\] and \[\pm \sqrt{b^{2} - 4ac}\], while the denominator is \[2a\], giving the two roots of the quadratic equation.