If p+q=5 and p^{2}+q^{2}=13, what is the value of ... | Free GMAT Practice Question | GMAT Panda

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GMAT Quant — Quant (Simultaneous Equations)

If p + q = 5 and p^{2} + q^{2} = 13, what is the value of pq ?

Explanation	Calculations	Help
$We apply Development Formulas - Squares of +/- .$	$(p + q)^{2} = p^{2} + q^{2} + 2 pq$	Theory & Tactics Method Card EXP4-A Click to view full details
$We substitute the known values into the expansion using Simultaneous Equations - Substitution .$	$25 = 13 + 2 pq$	Theory & Tactics Method Card EQUA3-A Click to view full details
$We subtract the constant term from both sides to isolate the product term.$	$25 - 13 = 2 pq$
$We express the result as a fraction to solve for the product.$	$\frac{25 - 13}{2} = pq$

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C

GMAT Quant — Quant (Simultaneous Equations)

If p + q = 5 and p^{2} + q^{2} = 13, what is the value of pq ?

Explanation	Calculations	Help
$We apply Development Formulas - Squares of +/- .$	$(p + q)^{2} = p^{2} + q^{2} + 2 pq$	Theory & Tactics Method Card EXP4-A Click to view full details
$We substitute the known values into the expansion using Simultaneous Equations - Substitution .$	$25 = 13 + 2 pq$	Theory & Tactics Method Card EQUA3-A Click to view full details
$We subtract the constant term from both sides to isolate the product term.$	$25 - 13 = 2 pq$
$We express the result as a fraction to solve for the product.$	$\frac{25 - 13}{2} = pq$

Scroll horizontally to view all columns

C