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BartSMP [9]
2 years ago
15

With a.b.c=1 and a+b+c=1 Prove that:

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
7 0

Answer:

HOPE IT HELPS PLZ MARK ME BRAINLIEST

Step-by-step explanation:

abc=1

⟹c=1/ab

1/(1+a+1/b)+1/(1+b+1/c)+1/(1+c+1/a)

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

=b/(1+b+ab)+1/(1+b+ab)+ab/(1+b+ab)

=1+b+ab/(1+b+ab)

=1

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What is the sum of the roots of the polynomial shown below?<br> f(x) = x^3 + 2x^2 - 11x-12
svp [43]

<u>Answer:  </u>

Sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

<u>Solution:</u>

The general form of cubic polynomial is a x^{3}+b x^{2}+c x+d=0 ---- (1)

If we have any cubic polynomial a x^{3}+b x^{2}+c x+d=0 having roots \alpha , \beta , \theta

Sum of roots \alpha + \beta + \theta = \frac{-b}{a} ---(2)

From question given that,

x^{3}+2 x^{2}-11 x-12 --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

= \frac{-2}{1}

= -2

Hence the sum of the roots of the polynomial x^{3}+2 x^{2}-11 x-12 \text { is }-2

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2 years ago
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Eduardwww [97]

Answer:

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Step-by-step explanation:

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2 years ago
How can you write the improper fraction 263/10 as a decimal?
insens350 [35]

Answer:

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Step-by-step explanation:

To write 263/10 as a decimal you have to divide numerator by the denominator of the fraction.

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3 years ago
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grigory [225]

Answer:

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Step-by-step explanation:

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3 years ago
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If x = 12 and y = 3, what is the value of x - y 2?<br><br> 81<br> 6<br> 3<br> 18
Marianna [84]

Answer:

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Step-by-step explanation:

x-y^2

Let x = 12 y=3

12 - (3)^2

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3

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