Consider the equation `(1+a+b)^2=3(1+a^2+b^2)`. where a, b are real numbers.then

Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are rational number, a ne 1. it is given that x _(1), x _(2) and x _(1)x_(2) are the real roots of the equation. Then x _(1) x _(2) ((a +1)/(b +c))=

Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are rational number, a ne 1. it is given that x _(1), x _(2) and x _(1)x_(2) are the real roots of the equation. Then x _(1) x _(2) ((a +1)/(b +c))=

Consider the equation (a+c-b)x^2+2cx+(b+c-a)=0 where a,b,c are distinct real number. suppose that both the roots of the equation are rational then

Consider the cubic equation x^(3)+ax^(2)+bx+c=0, where a,b,c are real numbers,which of the following statements is correct?

If (3)/(2) + (7)/(2)i is a solution of the equation a x^(2) - 6x + b = 0 , where a and b are real numbers, then find a+b

Consider the equation (a+c-b)x^(2)+2cx+(b+c-a)=0 where a b,c are distinct real number.suppose that both the roots of the equation are rational then

If (3)/(2)+(7)/(2)i is a solution of the equation ax^(2)-6x+b=0 , where a and b are real numbers, then the value of a+b is equal to

Show that a real value of x will satisfy the equation (1-ix)/(1+ix)= a -ib if a^2+b^2=1 , where a, b are real.

Consider a quadratic equation az^2+bz+c=0, where a,b and c are complex numbers. The condition that the equation has one purely real root, is

Show that a real value of 'x' will satisfy the equation (1- ix )/(1+i x)=a-i b , where a^(2)+b^(2)=1 , a, b are real.