Algebra MCQs
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Question 208medium
If x + y = 15, then the value of (x - 10)3 + (y - 5)3 is?
Question 209medium
If $$x + \frac{1}{x} = \sqrt 3 {\text{,}}$$ then find the value of $${x^3} + \frac{1}{{{x^3}}}$$ = ?
Question 210medium
The value of $$\frac{{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}}{{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5}}{\text{is:}}$$
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Question 211medium
If 2x - y = 2 and xy = $$\frac{3}{2},$$ then what is the value of $${x^3} - \frac{{{y^3}}}{8}?$$
Question 212medium
If x = 32.5, y = 34.6 and z = 30.9, then the value x3 + y3 + z3 - 3xyz of is 0.98k, where k is equal to:
Question 213medium
If a + b + c = 2, $$\frac{1}{a} + \frac{1}{b} + \frac{1}{c}$$ = 0, ac = $$\frac{4}{b}$$ and a3 + b3 + c3 = 28, find the value of a2 + b2 + c2.
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Question 214medium
If $${x^4} + \frac{1}{{{x^4}}} = 14159,$$ then the value of $$x + \frac{1}{x}$$ is:
Question 215medium
If $$\frac{{{x^{24}} + 1}}{{{x^{12}}}} = 7,$$ then the value of $$\frac{{{x^{72}} + 1}}{{{x^{36}}}} = \,?$$
Question 216medium
If $$a + \frac{1}{b} = 1$$ and $$b + \frac{1}{c} = 1$$ then $$c + \frac{1}{a}$$ is equal to?