The solution to the equations is; +1/2, -1/2, +√2, and -√2.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
[tex]4x^4 + 7x^2 - 2 = 0\\\\[/tex]
The factored form of the polynomial regression
[tex](4x^2 -1)(x^{2} + 2)[/tex]
So,
[tex](4x^2 -1) = 0\\\\4x^2 = 1\\\\x = \pm \dfrac{1}{2}[/tex]
Also,
[tex](x^{2} + 2) = 0\\\\x^{2} = - 2\\\\x = \pm \sqrt{2}[/tex]
Hence, the solution to the equations are;
+1/2, -1/2, +√2, and -√2.
Learn more about equations here;
https://brainly.com/question/10413253
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