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प्रश्न
Solve the following quadratic equation:
4x2 – 9x = 100
बेरीज
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उत्तर
Given:
4x2 – 9x = 100
⇒ 4x2 – 9x – 100 = 0
⇒ 4x2 – (25x – 16x) – 100 = 0
⇒ 4x2 – 25x + 16x – 100 = 0
⇒ x(4x – 25) + 4(4x – 25) = 0
⇒ (4x – 25)(x + 4) = 0
⇒ 4x – 25 = 0 or x + 4 = 0
⇒ `x = 25/4` or `x = - 4`
Hence, the roots of the equation are `25/4` and – 4.
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