Form the quadratic equation with rational coefficients if one of its roots be -4+5i

Form the quadratic equation with rational coefficients if one of its roots be 2+sqrt3

Find the quadratic equation with rational coefficients if one of its roots be 3-sqrt5 .

Find the quadratic equation whose roots are given as -4 and 1/2 .

Find the quadratic equation whose roots are each less by 2 than the roots of the equation x^2- 16x+63 = 0.

Find the quadratic equation whose roots are given below. -3, 4/3

Find the quadratic equation whose roots are given as sqrt2 +1 and sqrt2 -1 .

Find the quadratic equation whose roots are given below. sqrt 3 +sqrt 2, sqrt 3 - sqrt 2

Find the nature of the roots of the following quadratic equations. If the real roots exist find them. 3x^2-5x+12=0

Find the nature of the roots of the following quadratic equations.If the real roots exist,find them:(i) 2x^2-3x+5=0

Represent the following situations in the form of quadratic equations:(i)The area of a rectangular plot is 528m^2 .The length of the plot(in meters) is one more than twice its breadth.We need to find length and breadth of the plot.