Question

Find the condition such that zeros of the polynomial ax2+bx+c are equal

Answer 1

$\huge\underline\mathfrak{Answer}$

The conditions for the roots of quadratic equation

$a {x}^{2} \: + \: bx \: + \: c$

are

$if \: {b}^{2} \: - 4ac \: > 0.. \: roots \: are \: real \: and \: distinct. \\ \\ if \: {b}^{2} \: - 4ac \: = \: 0.. \: roots \: are \: real \: and \: equal. \\ \\ if \: {b}^{2} \: - 4ac \: < \: 0.. \: roots \: are \: imaginary$

Therefore by above conditions we can say that if

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

Roots are equal in a quadratic equation

$a {x}^{2} \: + \: bx \: + \: c$

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Answer 2

Answer:

ax square +bxsquuare +cx =0