SSC CHSL 2021101)If x2 - 5√2x - 1 = 0, then what will be the value of \(x^3 - \frac{1}{x^3}\) ?
265√2
SSC CHSL 2021102)If a + b + c = 4, ab + bc + ca = -14 and abc = -18, then the value of \(\sqrt{4a^3+4b^3+4c^3-36}\) will be:
26
SSC CHSL 2021103)If a2 + 49b2 + c2 + 18 = 2(28b - c - a) then the value of (a + 7b - c) is:
4
SSC CHSL 2021104)If x8 – 2599x4 + 1 = 0, then the positive value of \(x-\frac{1}{x}\) will be:
7
SSC CHSL 2021105)If a + b = p, ab = q, then (a4 + b4) is equal to
p4 - 4p2q + 2q2
SSC CHSL 2021106)If \((x+{1\over x})^3=27\), then what is the value of \(\left( x^2 + \frac{1}{x^2} \right) \)? Given that x is real.
7
SSC CHSL 2021107)Using algebraic identities, simplify the following expression.
\(\frac{(x^4 + x^2 + 1)}{(x^2 + x + 1)}\)
(x2 - x + 1)
SSC CHSL 2021108)If \(\sqrt x+{1\over\sqrt x}=\sqrt6\), then the value of \(x^6 + \frac{1}{x^6}\) will be:
2702
SSC CHSL 2021109)If \(x^4+{1\over x^4}=3842\), then the positive value of \( x + \frac{1}{x}\) will be:
8
SSC CHSL 2021110)If \(x-{2\over x}=4\), then what will be the value of \( x^2 + \frac{4}{x^2}\)?
20