Question

Solve : 8x +4 = 5(x - 2) +2 *​

Answer 1

Answer

Given polynomial is 5x  

2

−8x−4  

Here, a=5,b=−8  and c=−4

5x  

2

−8x−4=5x  

2

−10x+2x−4

                       =5x(x−2)+2(x−2)

                       =(x−2)(5x+2)

So, the value of 5x  

2

−8x−4 is zero when x=2 or x=  

5

−2

​  

 

Threrfore , the zeroes of 5x  

2

−8−4  are 2  and  

5

−2

​  

.

Now, sum of zeroes =2+(  

5

−2

​  

)=  

5

8

​  

=  

a

−b

​  

 

product  of zeroes =2×(  

5

−2

​  

)=  

5

−4

​  

=  

a

c

​  

 

Hence verified.

Answer 2

$8x + 4 = 5(x - 2) + 2 \\ 8x + 4 = 5x - 10 + 2 \\ 8x - 5x = - 10 + 2 - 4 \\ 3x = - 8 - 4 \\ 3x = - 12 \\ x = \frac{ - 12}{3} \\ \\ x = - 4$