Question

6. Find the equality of p and q from the given two equations.
6p2 + p-1=0
14q² +9q +1 = 0​

Answer 1

Answer: p≥q

Step-by-step explanation:

(I) 6p^{2} + p - 1 = 06p  

2

+p−1=0

By middle term splitting (factorization)

(3p - 1)(2p + 1)

p = \frac{1}{3},-\frac{1}{2}  

3

1

​  

,−  

2

1

​  

 

(II) 14q^{2}+9q+1 = 014q  

2

+9q+1=0

By middle term splitting (factorization)

(7q + 1)(2q + 1)

q = -\frac{1}{7},-\frac{1}{2}−  

7

1

​  

,−  

2

1

​  

 

therefore p≥q