Q1 of 87 Page 39

Solve the following quadratic equation by completing the square method.

2y2 + 9y + 10 = 0



Steps involved in solving quadratic equation by completing the square method are - 

1. Making the first variable free of coefficient

Dividing by the coefficient of 2, we get, 

⇒

2. The coefficient of linear variable(variable with degree 1) is then squared and then added and subtracted from the equation.

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3. Take out the terms following the formula (a + b)2 = a2 + b2 + 2 a b


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More from this chapter

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1

Solve the following quadratic equation by completing the square method.

m2 – 5m = -3

 1

Solve the following quadratic equation by completing the square method.

9y2 – 12y + 2 = 0

 1

Solve the following quadratic equation by completing the square method.

5x2 = 4x + 7 = 0

 1

Compare the given quadratic equations to the general form and write values of a, b, c.

(1) x2 – 7x + 5 = 0


(2) 2m2 = 5m – 5


(3) y2 = 7y