SSC CHSL MATHS(ALGEBRA) QUIZ

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Question 1:

If $x^{4}+\frac{1}{x^{4}}=727$, then find the value of $x^{3}-\frac{1}{x^{3}}$

Question 2:

If $x=3+\sqrt{8}$, then find the value of $\sqrt{x}+\frac{1}{\sqrt{x}}$

Question 3:

If $a+b=18, a b=72$ and $a^{3}+b^{3}=5832$ then find the value of $\frac{\mathrm{a}^{2}+\mathrm{b}^{2}}{\mathrm{ab}}$.

Question 4:

If $a=\frac{1}{a-5}(a>0)$ then the value of $a-5+\frac{1}{a-5}$ is

Question 5:

What to add to $\frac{2}{x-1}$ to get $\frac{x^{2}+2 x+1}{x^{2}-1}$?

Question 6:

If $\mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}=\mathrm{0}$ has roots $\alpha$ and $\beta$ then which of the following will be one of the quadratic equations whose roots are $1 / \alpha$ and $1 / \beta$ ?

Question 7:

If $x+y=15$ and $x y=45$, then what is the value of $x^{2}+y^{2}$?

Question 8:

If $a$ is positive and $a^{2}+\frac{1}{a^{2}}=7$, then find $a^{3}+\frac{1}{a^{3}}$.

Question 9:

x+y+z = 11 , xy+yz+zx =41 then what is the value of $x^2 + y^2 + z^2$ = ?

Question 10:

If $x+y+3=0$, then find the value of $x^3+y^3-9 x y+9$