Solve the equation.
-$$36 x ^ { 4 } - 85 x ^ { 2 } + 49 = 0$$

Name: Solve the equation. -\[36 x ^ { 4 } - 85 x ^ { 2 } + 49 = 0\]
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Question

Quizplus · Accepted Answer

This equation is a quadratic in form, $36x^4 - 85x^2 + 49 = 0$, which can be solved by substituting $y = x^2$, resulting in a quadratic equation in terms of $y$. Solving this quadratic equation yields the roots for $y$, which are then square-rooted to find the values of $x$. The correct roots are $\left\{ - \frac { 7 } { 6 } , - 1,1 , \frac { 7 } { 6 } \right\}$.

Solve the Equation 36x4−85x2+49=036 x ^ { 4 } - 85 x ^ { 2 } + 49 = 036x4−85x2+49=0

Solve the Equation $36 x ^ { 4 } - 85 x ^ { 2 } + 49 = 0$