Write Given Quadratic Equation: Write down the given quadratic equation. The given equation is x - 5x^2 + 4 = 0. We need to find the values of x that satisfy this equation.Rearrange Standard Form: Rearrange the equation in standard quadratic form. To solve the quadratic equation, we need to arrange it in the form ax^2 + bx + c = 0. The given equation can be rearranged as -5x^2 + x + 4 = 0.Factor Quadratic Equation: Factor the quadratic equation. We need to factor the equation -5x^2 + x + 4 = 0. To do this, we look for two numbers that multiply to -20 (the product of a and c) and add up to 1 (the coefficient of x). These numbers are 5 and -4.Write Factored Form: Write the factored form of the equation. The factored form of the equation is (x - 4)(-5x - 1) = 0.

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$x^4-5x^{2}+4=0$

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Algebra 2

Solve complex trigonomentric equations

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x^4-5x^{2}+4=0

Write Given Quadratic Equation: Write down the given quadratic equation. $\newline$ The given equation is $x - 5x^2 + 4 = 0$ . We need to find the values of $x$ that satisfy this equation.
Rearrange Standard Form: Rearrange the equation in standard quadratic form. $\newline$ To solve the quadratic equation, we need to arrange it in the form $ax^2 + bx + c = 0$ . The given equation can be rearranged as $-5x^2 + x + 4 = 0$ .
Factor Quadratic Equation: Factor the quadratic equation. $\newline$ We need to factor the equation $-5x^2 + x + 4 = 0$ . To do this, we look for two numbers that multiply to $-20$ (the product of $a$ and $c$ ) and add up to $1$ (the coefficient of $x$ ). These numbers are $5$ and $-4$ .
Write Factored Form: Write the factored form of the equation. $\newline$ The factored form of the equation is $(x - 4)(-5x - 1) = 0$ .