57.Represent the following situation in the form of a quadratic equation: The sum of two numbers is 60 and their product is 800.
Let the first number be x ∴ Other number = (60 – x) According to question, x (60 – x) = 800 ⇒ 60x – x2 = 800 ⇒ x2 – 60x + 800 = 0 Therefore, the required equation in the form of quadratic equation is x2 – 60x + 800 = 0
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58.Represent the following situation in the form of a quadratic equation: The length of a rectangular hall is 3 m more than its breadth. If the area of the hall is 108 m2.
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59.Represent the following situation in the form of a quadratic equation: Rohan's mother is 26 years older than him. The product of their ages (in yrs) 3 years from now will be 360. We would like to find Rohan’s present age.
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60.Represent the following situation in the form of a quadratic equation: The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides be 4 meters.