the equation a(x-b)(x-c)/(a-b)(a-c) +b(x-c)(x-a)/(b-c)(b-a)+c(x-a)(x-b)/(c-a)(c-b)=x is satisfied by how many values of x? (Please explain)
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Answered by
35
Answer:
the equation
a(x-b)(x-c)/(a-b)(
a-c) +b(x-c)(x-a)/(b-c)(
b-a)+c(x-a)(x-b)
/(c-a)(c-b)=x is
satisfied by how many values of x
Answered by
1
Answer:
All values of x.
Step-by-step explanation:
f(a)=0
f(b)=0
f(c)=0.
x satisfies more than two values. (The degree of x here is 2)
So it's an identity.
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