Question

If a b c are three distinct positive real numbers then the no. Of real roots of ax^2+2bx-c=0

Answer 1

$Given \: quadratic \: eqution : \\ax^{2} + 2bx - c = 0$

$where \: a, b \:and \: c \: are \: three \: distinct\\positive \: real \: numbers$

$Compare \: above \: eqution \:with \: Ax^{2} + Bx + C = 0 ,we \: get$

$A = a , \: B = 2b , \: C = -c$

$Discreminant (D) = B^{2} - 4AC \\= (2b)^{2} - 4 \times a \times (-c) \\= 4b^{2} + 4ac \\> 0$

Therefore.,

$\pink { Equation \: have \: two \: distinct \: real }$

$\pink {roots .}$

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