[" If the roots of the equations "],[ax^(2)+2bx+c=0" and "bx^(2)-2sqrt((ac))x+b=0" are real,then: "]

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

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

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.

If the roots of the equation ax^(2)+bx+c=0 are real and distinct,then

State the roots of quadratic equation ax^(2)+bx+c=0" if "b^(2)-4ac gt0

IF the roots of the equation ax ^2 +bx + c=0 are real and distinct , then

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