" 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

Write the condition to be satisfied for the equation ax^(2)+2bx + c = 0 and bx^(2)-2 sqrt(ac)x+b=0 to have equal roots.

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

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

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