Practice Set 2.3
- x^2 + x - 20 = 0 Solve the following quadratic equation by completing the square…
- x^2 + 2x - 5 = 0 Solve the following quadratic equation by completing the square…
- m^2 - 5m = -3 Solve the following quadratic equation by completing the square method.…
- 9y^2 - 12y + 2 = 0 Solve the following quadratic equation by completing the square…
- 2y^2 + 9y + 10 = 0 Solve the following quadratic equation by completing the square…
- 5x^2 = 4x + 7 = 0 Solve the following quadratic equation by completing the square…
Practice Set 2.3
Question 1.Solve the following quadratic equation by completing the square method.
x2 + x – 20 = 0
Answer:
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Question 2.
Solve the following quadratic equation by completing the square method.
x2 + 2x – 5 = 0
Answer:
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Question 3.
Solve the following quadratic equation by completing the square method.
m2 – 5m = -3
Answer:
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(Adding and Subtracting 
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Question 4.
Solve the following quadratic equation by completing the square method.
9y2 – 12y + 2 = 0
Answer:
(3y)2 - 2 × 3y × 4 + (4)2 - (4)2 + 2 = 0
(3y)2 - 2 × 3y × 4 + (4)2 - 16 + 2 = 0
(3y - 4)2 - 14 = 0
(3y - 4)2 = 14
3y - 14 = ±√14
3y = 14 ± √14
y = (14 ± √14)/3
Question 5.
Solve the following quadratic equation by completing the square method.
2y2 + 9y + 10 = 0
Answer:
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,
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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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Question 6.
Solve the following quadratic equation by completing the square method.
5x2 = 4x + 7 = 0
Answer:
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(Adding and Subtracting 
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