What are the solutions of the equation x4 + 95x2 – 500 = 0? use factoring to solve.

Asked by wiki @ in Mathematics viewed by 457 People

What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

x=+- sqrt 5 and x = ±10
x=+- sqrt i5 and x = ±10i
x=+- sqrt 5 and x = ±10i
x=+- sqrt i5 and x = ±10

Answered by wiki @

Given

The equation in the form

x^{4}+95x^{2}-500 =0

Find the factor of the above equation

To proof

factoring the above equation

we get

x^{4}+100x^{2}-5x^{2}-500 =0\\\\x^{2}(x^{2}+100)-5(x^{2}+100)=0\\\\(x^{2}-5)(x^{2}+100)=0

now sloving the equation we get the value

x² = 5

x² = -100

x =\pm \sqrt{5}\\\\ x=\sqrt{-100}

The factor of the equation is

x=\pm \sqrt{5}\\\\ x= \pm 10i

Hence proved

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