What are the solutions of the equation x4 – 5x2 – 14 = 0? use factoring to solve.


Asked by maham237 @ in Mathematics viewed by 421 People

Answered by maham237 @



Answer:

See below.

Step-by-step explanation:

x^4-5x^2-14=0\\\\\text{Let } u=x^2\\\\u^2-5u-14=0\\(u-7)(u+2)=0\\u=7 \text{ and } u=-2\\x^2=7 \text{ and } x^2=-2\\x=\pm\sqrt{7} \text{ and } x=\pm i\sqrt{2}


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