Question

find the sqare root of 64x⁴-16x³+17x²-2x+1​

Answer 1

Answer:

x

4

−16x

3

+86x

2

−176x+105=0

Let the other two roots be a,b

S

1

=1+7+a+b=16

⇒a+b=8....

S

4

=7ab=105

⇒ab=15....

substituting b from (i)

a(8−a)=15

8a−a

2

=15

a

2

−8a+15=0

a

2

−5a−3a+15=0

a(a−5)−3(a−5)=0

(a−3)(a−5)=0

⇒a=3,5

substituting a in

⇒b=5,3

So the other two roots are 3 and 5

Step-by-step explanation:

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