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| 1. |
Factories:- x² -3√5x-20 |
| Answer» <html><body><p>- 20 = <a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a> [by <a href="https://interviewquestions.tuteehub.com/tag/factorisation-458923" style="font-weight:bold;" target="_blank" title="Click to know more about FACTORISATION">FACTORISATION</a> method] ⇒ x2 + 5x - 4x - 20 = 0 ⇒ x(x + 5) - <a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>(x + 5) = 0 (x + 5) (x - 4) = 0 ∴ x = -5 or 4 and <a href="https://interviewquestions.tuteehub.com/tag/y2-1464315" style="font-weight:bold;" target="_blank" title="Click to know more about Y2">Y2</a> - y - 30 = 0 ⇒ y2 - <a href="https://interviewquestions.tuteehub.com/tag/6y-332289" style="font-weight:bold;" target="_blank" title="Click to know more about 6Y">6Y</a> + 5y - 30 = 0 ⇒ y(y - 6) + 5(y - 6) = 0⇒ (y - 6) (y + 5) = 0 ∴ y = 6 or - 5 Hence, y ≥ x or x ≤ y</p></body></html> | |