" The roots of "ax^(2)+2bx+c=0" and "bx^(2)-sqrt(acx+b)=0" are simultaneously,real then choose incorrect option."

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The roots of ax^(2) + 2bx + c = 0 and bx^(2)- 2sqrt(ac)x+b=0 are simultaneously real, then

Find the condition if the roots of ax^(2)+2bx+c=0andbx^(2)-2sqrt(ac)x+b=0 are simultaneously real.

If the roots of the equation ax^(2)+2bx+c=0 and -2sqrt(acx)+b=0 are simultaneously real, then prove that b^(2)=ac

Theorem : The roots of ax^(2)+bx+c=0 are (-b pm sqrt(b^(2)-4ac))/(2a)

IF the roots of ax^2 +bx +c=0 are both negative and b < 0 then

The roots of ax^(2)+bx+c=0, ane0 are real and unequal, if (b^(2)-4ac)

If both the roots of ax^(2)+bx+c=0 are negative and b<0 then :

If ax^(2)+bx+c=0 and bx^(2)+cx+a=0 have a common root, prove that a+b+c=0 or a=b=c .