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Formula
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$y = x ^ { 4 } - x ^ { 2 } - 20$
$y = 0$
$x$-intercept
$\left ( \sqrt{ 5 } , 0 \right )$, $\left ( - \sqrt{ 5 } , 0 \right )$
$y$-intercept
$\left ( 0 , - 20 \right )$
Derivative
$4 x ^ { 3 } - 2 x$
Seconde derivative
$12 x ^ { 2 } - 2$
Local Minimum
$\left ( - \dfrac { \sqrt{ 2 } } { 2 } , - \dfrac { 81 } { 4 } \right )$, $\left ( \dfrac { \sqrt{ 2 } } { 2 } , - \dfrac { 81 } { 4 } \right )$
Local Maximum
$\left ( 0 , - 20 \right )$
Point of inflection
$\left ( - \dfrac { \sqrt{ 6 } } { 6 } , - \dfrac { 725 } { 36 } \right )$, $\left ( \dfrac { \sqrt{ 6 } } { 6 } , - \dfrac { 725 } { 36 } \right )$
$x ^{ 4 } -x ^{ 2 } -20 = 0$
$ $ 그래프 보기 $ $
Graph
Solution search results
search-thumbnail-$9$ Solve the following equation using $u-substituti0n$ $\left(8pts\right)$ 
$x^{4}-x^{2}-20=0$
1st-6th grade
Algebra
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