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

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

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+bx+c=0 differ by K then b^(2)-4ac=

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

Write the roots of quadratic equation ax^2+bx+c=0 when b^2-4ac>0 .

If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 be equal to the sum of their squares, then prove that 2ac=ab+b^(2) .