Respuesta :

x^4 - 5x^2 - 36 = 0
(x^2 - 9)(x^2 + 4) = 0  - factor the left side
(x + 3)(x - 3)(x^2 + 4) = 0 - factor (x^2 - 9 as difference of squares)
x + 3 = 0    x - 3 = 0    x^2 + 4 = 0  Set each factor to 0 if any 0 the left side 0
x = -3         x = 3         x^2 = -4
                                   x = 2i or -2i
The roots are 3, -3, 2i, -2i  (Don't know if you need the imaginary roots but I gave you them anyway)

The solution of the equation are 3, -3, 2i, -2i .

What is an Equation ?

An equation is a mathematical statement formed when two algebraic expression are equated using an equal sign.

The equation is given

x⁴ - 5x² - 36 = 0

It can be written as

(x² - 9)(x² + 4) = 0

(x + 3)(x - 3)(x² + 4) = 0

Now

x+3 = 0

x = -3

x-3 = 0

x = 3

x²+4 = 0

x = +2i

x = -2i

The roots of the equation are 3, -3, 2i, -2i .

To know more about Equation

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