Find the condition if the roots of `a x^2+2b x+c=0a n db x^2-2sqrt(a c )x+b=0` are simultaneously real.

Find the condition if the roots of a x^2+2b x+c=0 a n d b x^2-2sqrt(a c )x+b=0 are simultaneously real.

Find the condition if the roots of a x^2+2b x+c=0 and b x^2-2sqrt(a c )x+b=0 are simultaneously real.

Find the condition if the roots of a x^2+2b x+c=0 and b x^2-2sqrt(a c )x+b=0 are simultaneously real.

Find the condition if the roots of a x^2+2b x+c=0 and b x^2-2sqrt(a c x)+b=0 are simultaneously real.

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

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

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

Find the condition so that the two equations a_1 x^2+b_1 x+c_1=0 and a_2 x^2+b_2 x+c_2=0 will have a common root.