If 14 s-98-100- then s-

14 s+98=100 ⇒14s =100 98 ⇒s4 =2 ⇒ s=2×4=8 ...

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Equivalent Fractions

If 14 s+98=...

Question

If $\frac{1}{4} s + 98 = 100$ , then $s =$ ?

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Solution

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S = (1 + x^{2})^{100} + 2 x^{2} (1 + x^{2})^{99} + 3 x^{4} (1 + x^{2})^{98} + \dots + 101 x^{200}

x^{100}

S

100

1

H_{2} S O_{4}

100

98

w / w

H_{2} S O_{4}

=

0.1

If f(x) = 1 - f(1-x) and then $f (\frac{1}{100}) + f (\frac{2}{100}) + . . . . . + f (\frac{98}{100}) + f (\frac{99}{100}) .$

Find the product: $(98 \times 14) + (98 \times 86)$

\frac{100^{98} + 100^{100}}{100^{98}} + 1

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