Math, asked by rithwikreddych80, 9 months ago

1 17
15. If a +
a
4
find the value of a-
a

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Answers

Answered by guddimishram

Answer:

a+1/a = 17/4

${a}^{2} - \frac{17}{4} a + 1 = 0 \\ solving \: the \: equation \: we \: get \: \\ a = 4 \: and \frac{1}{4}$

so a-1/a= 15/4

please mark as brainliest

Answered by guideboy509

Answer:

a+1/a=17/4

(a+1/a)^2 =289/16

a^2 +(1/a) ^2 +2*a*1/a=289/16

a^2 + 1/a^2 +2 =289/16

a^2 + 1/a^2 =(289-32)/16

a^2 + 1/a^2 =257/16

Now,

(a-1/a)^2 = a^2 + 1/a^2 - 2*a*1/a

(a-1/a)^2 = 257/16 - 2 (Using equation 1)

(a-1/a)^2 = (257-32)/16

(a-1/a)^2 = 225/16

a-1/a = 15/4

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1 17
15. If a +
a
4
find the value of a-
a