Question

Q11
If the sum of the two roots of the equation 4x3 + 1622 - 9r - 36 = 0 is zero, then the roots are​

Answer 1

Answer:

i hope it helps u

Step-by-step explanation:

Solve the equations:

4x  

3

+16x  

2

−9x−36=0, the sum of two of the roots being zero.

Answer

4x  

3

+16x  

2

−9x−36=0

Let the roots be a,−a,b

a−a+b=−  

4

16

​  

=−4

⇒b=−4

a(−a)+(−a)b+ab=  

4

−9

​  

 

a  

2

=  

4

9

​  

 

⇒a=±  

2

3

​  

 

So the roots of the equation are  

2

3

​  

,−  

2

3

​  

,−4

Answer 2

Answer:

4x 3 +16x 2 −9x−36=0

Let the roots be a,−a,b

a−a+b=− 416 =−4

⇒b=−4a(−a)+(−a)b+ab= 4−9a 2 = 49

⇒a=± 23

So the roots are 3 /2, 3/2 ,−4