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प्रश्न
Solve the following quadratic equation:
x2 = 18x – 77
योग
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उत्तर
Given:
x2 = 18x – 77
⇒ x2 – 18x + 77 = 0
⇒ x2 – (11x + 7x) + 77 = 0
⇒ x2 – 11x – 7x + 77 = 0
⇒ x(x – 11) – 7(x – 11) = 0
⇒ (x – 7)(x – 11) = 0
⇒ x – 7 = 0 or x – 11 = 0
⇒ x = 7 or x = 11
Hence, 7 and 11 are the roots of the equation x2 = 18x – 77.
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