Question

Find value of p if 3x square minus 2x +p =0?and 6 x square minus 27 x plus twelve equals to zero have a common root

Answer 1

Answer:

Step-by-step explanation:

3x^2-2x+p=0______(1)

6x^2-27x+12=0____ (2)

From (2) ,

x=27± √729-288/12

x=27± √441/12

x=27±21/12

when,

x=27+21/12

x=48/12

x=4

when,

x=27-21/12

x=6/12

x=1/2

From (1) ,

When x=4 ,

3*4^2-2*4+p=0

12*12-8+p=0

144-8+p=0

p= - 136

when x=1/2 ,

3*1/2^2-2*1/2+p=0

3/2*3/2-1+p=0

9/4-1+p=0

9-4/4+p=0

p= - 5/4