Math, asked by sangeeth10, 1 year ago

can anyone answer me the 3rd questions??

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Answered by Anonymous
2

 \huge \bold \red{heya \:friend}

Answer:

The zeroes of the given polynomial are a-b and a+b.

We know that

Sum of the zeroes=-b/a

a+b+a+a-b=-(-3)/1

3a=3

a=1-------(1)

Product of the zeroes=-d/a

(a+b)(a)(a-b)=-1/1

a(a²-b²)=-1------(2)

Now substituting (1) in (2),

1(1-b²)=-1

1-b²=-1

=-1-1

=-2

b=±2

Therefore,

a=1

b=±2


sangeeth10: hi
sangeeth10: can you plz explain the last step
Anonymous: The substitution part?
sangeeth10: yes
Anonymous: So, we obtained the value of a by adding all the zeroes, similarly we took the product of the roots
Anonymous: Here (a+b)(a-b)(a)
Anonymous: We have an identity:(a+b)(a-b)=a²-b²
Anonymous: So a(a²-b²).Now on substituting a=1 here, we get 1(1²-b²)
Anonymous: Product of roots= -d/a, equating 1(1²-b²)=-1, we get b=±√2
sangeeth10: thank you
Answered by luckiest1
1

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HERE IS UR ANSWER

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