If the numerically smaller root of `x^(2) + mx = 2` is 3 more than the other one, find the value of m.

One root of mx^(2)-10x+3=0 is two third of the other root. Find the sum of the roots.

If one root of x^3+2x^2+3x+k=0 is sum of the other two roots then find the value of k

If he roots of the equation12x^(2)-mx+5=0 are in the ratio 2:3 then find the value of m.

If the roots of the equation 12x^(2)-mx+5=0 are in the ratio 2:3 , then find the value of m.

5 times of the greater one of two numbers is 2 more than 8 times of the smaller one. Again 2 times of the smaller one is 10 more than the greater one. Find the two number.

If the roots of equations x^(2) - mx+ 16=0 are equal then the value of m is:

If one root of the equation x^2+(5a+2)x+5a+2=0 is five times the other root , then find the numerical value of a .

If x=2 and x=3 are roots of the equation 3x^(2)-mx+2n=0 , then find the values of m and m.

If x=2 and x=3 are roots of the equation 3x^(2)-mx+2n=0 , then find the values of m and m.

One root of the equation (2+3i)x^2-bx+(3+i)=0 is 2-i. Find the other root and the value of b.