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→Hints for difficult problems
=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 =