\(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 3x + 4 = 0\). Find \(\alpha + \beta\).
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2017
A straight line 2x+3y=6, passes through the point (-1,2). Find the equation of the line.
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2017
Express cos150° in surd form.
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2017
If \(\begin{pmatrix}Â 2Â &Â 1 \\Â 4 & 3 \end{pmatrix}\)\(\begin{pmatrix}Â 5 \\ 4 \end{pmatrix}\) = k\(\begin{pmatrix}Â 17.5 \\ 40.0 \end{pmatrix}\), find the value of k.
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2017
How many ways can 6 students be seated around a circular table?
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2017
Find the 21st term of the Arithmetic Progression (A.P.): -4, -1.5, 1, 3.5,...
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2017
Find the coefficient of \(x^{4}\) in the expansion of \((1-2x)^{6}\).
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2017
Given that \(\frac{6x+m}{2x^{2}+7x-15} \equiv \frac{4}{x+5} - \frac{2}{2x-3}\), find the value of m.
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2017
Given that \(f(x) = \frac{x+1}{2}\), find \(f^{1}(-2)\).
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2017
The function f: x \(\to \sqrt{4 - 2x}\) is defined on the set of real numbers R. Find the domain of f.
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2017
Find the coordinates of the centre of the circle \(3x^{2}+3y^{2} - 4x + 8y -2=0\)
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2017
If \(x^{2} - kx + 9 = 0\) has equal roots, find the values of k.
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2017
Simplify \(\frac{1}{(1-\sqrt{3})^{2}}\)
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2017
A binary operation \(\Delta\) is defined on the set of real numbers, R, by \(a \Delta b = \frac{a+b}{\sqrt{ab}}\), where a\(\neq\) 0, b\(\neq\) 0. Evaluate \(-3 \Delta -1\).
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2017
If \(log_{y}\frac{1}{8}\) = 3, find the value of y.