Question

If the equations 2x^2-7x+3=0 and 4x^2+ax-3=0 have a common root them what is value of a

Answer 1

Answer:

-11

Step-by-step explanation:

Let the roots of the equation be x1 and x2

By factorizing 2x^2 - 7x + 3 = 0

2x^2 - 6x - x +3 = 0

2x ( x-3) -1 ( x-3) =0

(2x-1)(x-3)

x1 = 2x-1 =0                          x2 = x-3 = 0

   = x = 1/2                                 = x = 3

It it given that roots of both the equation are same so, if we put the value of "x" from above equation it should be equal to 0

Putting value of x = 3

4x^2 + ax -3 =0

4(3)^2 + 3x - 3 = 0

36 -3 + 3x = 0

3x = -33

(x = -11)  Ans...

Hope it will help....

Answer 2

Answer:

refer to the attachment