If A.M. and G.M pf roots of a quadratic equation are 8 and 5 respectively, then obtain the quadratic equation.

If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadratic equation.

If A.M. and G.M of roots of a quadratic equations are 6 and 5 respectively, then obtain the quadratic equation.

If the roots of a quadratic equation are 20 and -7, then find the equation?

Let a,b,c,d be distinct real numbers and a and b are the roots of the quadratic equation x^2-2cx-5d=0 . If c and d are the roots of the quadratic equation x^2-2ax-5b=0 then find the numerical value of a+b+c+d .

If A.M and G.M of two positive numbers are 13 and 12 respectively. Find the numbers.

Find the roots fo the quadratic equation 6x^2-x-2=0 .

One root of the quadratic equation x^(2)-12x+a=0 is thrice the other. Find the value of a?

Solve the quadratic equation x^2 - 5x + 10 = 0

Find the roots of the following quadratic equations, if they exist, using the quadratic formula : 3x^2-5x+2=0

Find the roots of the following quadratic equations, if they exist, using the quadratic formula : x^2+4x+5=0