Given: p2+53p2= 7 On multiplying both sides by 3p2, we get: nbsp; nbsp;p2 + 5 = ndash; 21p2 = gt; 22p2 + 5 = 0 = gt; 22p2 + 0p + 5 = 0 Thus, the st ...

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Standard X

Mathematics

Linear Inequations

p2+53 p 2=-7

Question

$\frac{p^{2} + 5}{3 p^{2}} = - 7$

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Solution

Given: $\frac{p^{2} + 5}{3 p^{2}} = - 7$
On multiplying both sides by 3p², we get:

p² + 5 = – 21p²
=> 22p² + 5 = 0
=> 22p² + 0p + 5 = 0
Thus, the standardised form of the given quadratic equation is 22p² + 0p + 5 = 0.
On comparing this equation with ap² + bp + c = 0 with variable p, we get:
a = 22, b = 0 and c = 5

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Find the value of $p^{2} + \frac{1}{p^{2}},$ if $p + \frac{1}{p} = 7$ .

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p2+53p2=-7

Given: p2+53p2=-7 On multiplying both sides by 3p2, we get: p2 + 5 = – 21p2 => 22p2 + 5 = 0 => 22p2 + 0p + 5 = 0 Thus, the standardised form of the given quadratic equation is 22p2 + 0p + 5 = 0. On comparing this equation with ap2 + bp + c = 0 with variable p, we get: a = 22, b = 0 and c = 5

$\frac{p^{2} + 5}{3 p^{2}} = - 7$