Question

If D>0 then roots of the quadratic equation ax2 + bx + c = 0 are

Answer 1

$\sf\red{\underline{\underline{Answer:}}}$

$\sf{The \ roots \ are \ not \ real.}$

$\sf\orange{Explanation:}$

$\sf{Discriminant(\Delta)=b^{2}-4ac}$

$\sf{If, \ \Delta>0 \ roots \ are \ real \ and \ unequal.}$

$\sf{\Delta=0 \ roots \ are \ real \ and \ equal.}$

$\sf{\Delta<0 \ roots \ are \ not \ real.}$

$\sf\blue{\underline{\underline{Extra \ information:}}}$

$\sf{Methods \ use \ for \ solving \ quadratic \ equation:-}$

$\sf{1. \ Factorisation \ method.}$

$\sf{2. \ Completing \ the \ square \ method.}$

$\sf{3. \ Formula \ method.}$

__________________________________

$\sf{If \ \alpha \ and \ \beta \ are \ roots \ of \ the }$

$\sf{quadratic \ equation.}$

$\sf{\alpha+\beta=\frac{-b}{a}}$

$\sf{\alpha\beta=\frac{c}{a}}$

$\sf{Also, \ we \ can \ write \ quadratic \ equation \ as}$

$\sf{x^{2}-(\alpha+\beta)x+\alpha\beta=0}$