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Quadratic Equations
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Revision as of 11:50, 22 July 2014
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11:50, 22 July 2014
→Hints for difficult problems
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=Hints for difficult problems =
=Hints for difficult problems =
−
#If P & q are the roots of the equation 2a^-4a+1=0 find the value of (p+q)^+
4pq
+
#If P & q are the roots of the equation 2a^-4a+1=0 find the value of
+
p^3+q^3
+
Pre requisites:
+
#Standard form of quadratic equation
+
#Formula to find the sum & product of quadratic equation
+
#Knowledge of using appropriate identity
+
Interpretation of the Problem:
+
#Compare the equation with standard form and identify the values of a,b,c
+
#To find the sum of the roots of the quadratic equation using the formula
+
#To find the product of the roots of the equation
+
# Using the identity rewriting p^3+q^3 as
(p+q)^
3-3pq(p
+
q)
+
#Substitute the values of m+n & mn in (p+q)^3-3pq(p+q)
+
#Simplification
+
Concepts:
+
#Formula to find the sum and product of the roots of the quadratic equation
+
#Identity (a+b)^3=a^3+b^3+3ab(a+b)
= Project Ideas =
= Project Ideas =
= Math Fun =
= Math Fun =
Jayanti N
152
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