Q6 of 65 Page 4

Let us construct the quadratic equations in one variable from the following statements.

The length of the diagonal of a rectangular area is 15 m. and the length exceeds its breadth by 3 m.

Let the breadth of the rectangle be x m.

Therefore, the length = (x + 3) m


Given length of diagonal = 15 m


We know that the diagonal of rectangle =


According to equation,







Therefore, the required quadratic equation is


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4

Let us express the equation (x+2)3 = x (x2 - 1) in the form of ax2 + bx + c = 0 (a ≠ 0) and write the co-efficient of x2, x and x°.

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Let us construct the quadratic equations in one variable from the following statements.

i. Divide 42 into two parts such that one part is equal to the square of the other part.


ii. The product two consecutive positive odd numbers is 143.


iii. The sum of the squares of two consecutive numbers is 313.

 6

Let us construct the quadratic equations in one variable from the following statements.

One person bought some kg. sugar in ₹ 80. If he would get 4 kg. more sugar with that money, then the price of kg. sugar would be less by ₹ 1.

 6

Let us construct the quadratic equations in one variable from the following statements.

The distance between two stations is 300 km. A train went to second station from first station with uniform velocity. If the velocity of the train is 5 km/hour more, then the time taken by the train to reach the second station would be lesser by 2 hours.