Question

If ax square +bx square + c =0 has equal roots, then b is equal to

Answer 1

Answer:

$\sf{The \ value \ of \ b \ is \ 2\sqrt{ac}.}$

Given:

• $\sf{ax^{2}+bx+c, \ has \ equal \ roots.}$

To find:

$\sf{The \ value \ of \ b.}$

Solution:

$\sf{The \ given \ quadratic \ equation \ is}$

$\sf{ax^{2}+bx+c=0}$

$\sf{Here, \ a=a, \ b=b \ and \ c=c}$

$\sf{According \ to \ the \ given \ condition}$

$\sf{\Delta=0}$

$\sf{\therefore{b^{2}-4ac=0}}$

$\sf{\therefore{b^{2}=4ac}}$

$\sf{On \ taking \ square \ root \ of \ both \ sides}$

$\sf{b=2\sqrt{ac}}$

$\sf\purple{\tt{\therefore{The \ value \ of \ b \ is \ 2\sqrt{ac}.}}}$