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प्रश्न
Solve the following quadratic equation for x :
9x2 − 6b2x − (a4 − b4) = 0
उत्तर
For the given quadratic equation 9x2−6b2x−(a4−b4)=0, discriminant is calculated by
D=(−6b2)2−4×9×[−(a4−b4)]
= 36b4+36(a4−b4)
=36a4
Using the quadratic formula, we get
`x=(6b^2+-sqrt(36a^4))/(2xx9)`
`= (6b^2+-6a^2)/18`
`=(b^2+-a^2)/3`
`:. x=(b^2+a^2)/3" or "(b^2-a^2)/3`
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