Question

step by step

f(x) = x² -10x+25. Find the zeroes of f(x),
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Answer 1

Find the zeroes of x 2−25x+84 and the verify the relationship between zeroes and coefficient.

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ANSWER

We have,

x 2 −25x+84

=x

2

−21x−4x+84

=x(x−21)−4(x−21)

=(x−21)(x−4)

So, the value of x

2

−25x+84 is zero when x−21=0 or x−4=0

i.e., when x=21 or x=4

Therefore, the zeroes of x

2

−25x+84 are 21 and 4

Now, Sum of zeroes =21+4=25=

1

−(−25)

=

a

−b

Product of zeroes =21×4=84=

1

84

=

a

c

SOLVE ACCORDING TO THIS

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