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Question

Solve the quadratic equation 2x2+axa2=0 for x.

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Solution

We have : 2x2+axa2=0
Comparing the given equation with the standard quadratic equation

(ax2+bx+c=0), we get

a=2,b=a,c=a2

Using the quadratic formula, x=b±b24ac2a, we get :
x=a±a24×2×(a)22×2
=a±9a24
=a±3a4
x=a+3a4=a2 or x=a3a4=a
So, the solutions of the given quadratic equation are x=a2 or x=a.


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