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प्रश्न
Solve the quadratic equation 2x2 + ax − a2 = 0 for x.
उत्तर
We have:
2x2 + ax − a2 = 0
Comparing the given equation with the standard quadratic equation (ax2 + bx + c = 0), we get:
a=2,b=a and c=-a2
Using the quadratic formula ,`x=(-b+-sqrt(b^2-4ac)/(2a))` , We get:
`x=-a+-sqrt(a^2-4xx2xx(-a^2))/(2xx2)`
`=(-a+sqrt(9a^2))4=(-a+3a)/4`
`=>x=(-a+3a)/4=a/2 or x=(-a-3a)/4=-a`
So, the solutions of the given quadratic equation are x=a/2 or x=-a
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