Can-someone-please-explain-me-how-to-solve-a-quadratic-equation-without-the-common-formulas-but-with-the-sums-and-products-method-please-Thank-

Question Number 46553 by hassentimol last updated on 28/Oct/18

Can someone please explain me how to

solve a quadratic equation without the

common formulas but with the sums and

products method please ?

Thank

Answered by ajfour last updated on 28/Oct/18

α + β = s; α β = p

α - β = \sqrt{{(α + β)}^{2} - 4 α β}

____________________

2 α = s + \sqrt{s^{2} - 4 p}

α = \frac{s}{2} + \frac{\sqrt{s^{2} - 4 p}}{2}

β = \frac{s}{2} - \frac{\sqrt{s^{2} - 4 p}}{2} .

Commented by hassentimol last updated on 28/Oct/18

Thank you sir