if `x^2+bx+c=0 & 2x^2+9x+10=0`have both roots common then find `b & c`

The equations ax^(2) + bx+ c =0, x^(3) -2x^(2) +2x -1 =0 have tow roots common, then find the value of a+b.

If a ,b ,c in R and equations a x^2+b x+c=0 and x^2+2x+3=0 have a common root, then find a : b : c

If a ,b ,c in R and equations a x^2+b x+c=0 and x^2+2x+3=0 have a common root, then find a : b : c

If x^2+mx+1 =0 and (b-c) x^2+(c-a)x+(a-b) =0 have both roots common,then

If the equations ax^(2)+bx+C=0 and x^(2)+2x+4=0 have a common root then find a:b:c

IF x^2 +ax+bc=0 and x^2+bx +ca=0 have a common root , then a + b+ c=

If the equations ax^2 + bx + c = 0 and x^3 + x - 2 = 0 have two common roots then show that 2a = 2b = c .

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If x^(2)+mx+1=0 and (b-c)x^(2)+(c-a)x+(a-b)=0 have both roots common,then