If (x-3) and (x-1/3) are both factors of ax^2 + 5x+b the then show that loon a=b.
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Step-by-step explanation:
Given:
(x-3) and (x-1/√3) are the factors of
ax^2 + 5x + b = 0
Substitution 1:
x-3=0
x=3
ax^2 + 5x + b = 0
a×3×3 + 5×3 + b = 0
9a + b + 15 = 0------- Equation (1)
Substitution 2:
x-1/3 = 0
x = 1/3
ax^2 + 5x + b = 0
a× 1/3×1/3 +5/3 + b = 0
a/9 + b + 5/3 =0 ------ Equation (2)
By solving Equation 1 and Equation 2 Simultaneously we will see that
a = 201
b = 201
Thus a = b
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