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1. Quadratic Equations in One Variable
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Q6 of 65 Page 4

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

There is a road of equal width around the outside of a rectangular playground having the length 45 m. and breadth 40 m. and the area of the road is 450 sqm.

Let the width of road be w m

area of road = area of rectangular paths + 4 squares at the corner.


So,





Hence the required equation is


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6

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

The time taken to clean out garden by Majid is 3 hours more than Mahim. Both of them together can complete the work in 2 hours.

6

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

The unit digit of a two digit number exceeds it tens’ digit by 6 and the product of two digits is less by 12 from the number.

1

In each of the following cases, let us justify & write whether the given values are the of the given quadratic equation:

x2 + x+1 = 0,1 and -1

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In each of the following cases, let us justify & write whether the given values are the of the given quadratic equation:

8x2+7x=0,0 and -2

Questions · 65
1. Quadratic Equations in One Variable
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