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Mathematics
Find the root of $16x - \dfrac{10}{x} = 27$.

Mathematics
Using quadratic formula, solve ${x^2} + 5x + 5 = 0$
Mathematics
Solve the quadratic equation $\sqrt 5 {x^2} + x + \sqrt 5 = 0$

Mathematics
Solve this equation $\dfrac{1}{{x + 1}} + \dfrac{2}{{x + 2}} = \dfrac{4}{{x + 4}}$, where $x + 1 \ne 0$, $x + 2 \ne 0$ and $x + 4 \ne 0$ using quadratic formula.

Mathematics
Solve the following quadratic equation ${{x}^{2}}-\dfrac{3x}{10}-\dfrac{1}{10}=0$

Mathematics
The solution set of equation ${(5 + 2\sqrt 6 )^{{x^2} - 3}} + {(5 - 2\sqrt 6 )^{{x^2} - 3}} = 10$ is
(A) $\left\{ { \pm {\text{ }}2, \pm {\text{ }}\sqrt 2 } \right\}$
(B) $\left\{ { \pm {\text{ 3}}, \pm {\text{ }}\sqrt 3 } \right\}$
(C) $\left\{ { \pm {\text{ 5}}, \pm {\text{ }}\sqrt 5 } \right\}$
(D) $\left\{ { \pm {\text{ 6}}, \pm {\text{ }}\sqrt 6 } \right\}$

Mathematics
Solve the following equation: $\mathop {\log }\nolimits_{x - 1}^3 = 2$

Mathematics
Solve the quadratic equation $3{(2x - 1)^2} + 4(2x - 1) - 4 = 0$

Mathematics
Solve the quadratic equation for $x$: $x^2 - 5x + 8 = 0$
$A)x = \dfrac{{ - 5 + i\sqrt 7 }}{2},x = \dfrac{{ - 5 - i\sqrt 7 }}{2}$
$B)x = \dfrac{{5 + i\sqrt 7 }}{2},x = \dfrac{{5 - i\sqrt 7 }}{2}$
$C)x = \dfrac{{ - 8 + i\sqrt {57} }}{2},x = \dfrac{{8 - i\sqrt {57} }}{2}$
$D)x = \dfrac{{8 + i\sqrt {57} }}{2},x = \dfrac{{8 - i\sqrt {57} }}{2}$

Mathematics
Solve the quadratic equation $3{a^2}{x^2} + 8abx + 4{b^2} = 0,{\text{ a}} \ne {\text{0}}$
A. No, Roots are imaginary
B. $\dfrac{{ - 2b}}{a}, - \dfrac{{2b}}{{3a}}$, real
C. Cannot be determined
D. incorrect question

Mathematics
Solve the quadratic equation $3{x^2} + 5x + 2 = 0$ using the quadratic formula.

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