A rectangular hall in Pune has length 3 m more than twice its breadth, and its area is 90 sq m.
With breadth $x, 2 x^{2} + 3 x - 90 = 0$ . Find the breadth by completing the square.

Question

A rectangular hall in Pune has length 3 m more than twice its breadth, and its area is 90 sq m. With breadth x, 2x^2 + 3x - 90 = 0. Find the breadth by completing the square.

Accepted Answer

6. Divide by 2: x^2 + 3/2x - 45 = 0. (x + 3/4)^2 = 45 + 9/16 = 729/16, x + 3/4 = 27/4, x = 6 m.

A rectangular hall in Pune has length 3 m more than twice its breadth, and its area is 90 sq m.
With breadth $x, 2 x^{2} + 3 x - 90 = 0$ . Find the breadth by completing the square.

Step-by-Step Solution

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More Class 10 Completing the Square practice

A rectangular hall in Pune has length 3 m more than twice its breadth, and its area is 90 sq m.With breadth x,2x2+3x−90=0. Find the breadth by completing the square.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Completing the Square practice

A rectangular hall in Pune has length 3 m more than twice its breadth, and its area is 90 sq m.
With breadth $x, 2 x^{2} + 3 x - 90 = 0$ . Find the breadth by completing the square.