**Comparison of Two Quadratic Equations**

**Quadratic Equation I: 48p**

^{2}+14p+1=0

**Quadratic Equation II: 17q**

^{2}+20q+3=0**First Solve Quadratic Equation I: 48p**

^{2}+14p+1=0
48p

^{2}+14p+1=0
48p

^{2}+8p+6p+1=0
8p(6p+1)+1(6p+1)=0

(8p+1)(6p+1)=0

Here, p=-1/8 = -0.125 and -1/6 = -0.166**Now Solve Quadratic Equation II: 17q**

^{2}+20q+3=0
17q

^{2}+20q+3=0
17q

^{2}+17q+3q+3=0
17q(q+1)+3(q+1)=0

(17q+3)(q+1)=0

Here, q=-3/17=-0.176 and -1**Now Do Comparison,**

-0.125>-0.176 means p>q __________(a)

-0.125>-1 means p>q _____________(b)

-0.166>-0.176 means p>q _____________(c)

-0.166>-1 means p>q ____________(d)

**On, combining (a), (b), (c) and (d), we get**

p>q is the answer.

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