Question

10
solve the equation by completing
square method
x² + 4x - 5=0
​

Answer 1

Answer:

Given quadratic equation is

x

2

+4x−5=0

⟹(x+2)

2

−4−5=0

⟹(x+2)

2

−9=0

⟹(x+2)

2

−3

2

=0

⟹(x+5)(x−1)=0

⟹x=1,−5

Step-by-step explanation:

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Answer 2

Answer:

x={-5,1}

Step-by-step explanation:

By completing square method,

→ x² + 4x - 5 = 0

→ x² + 4x = 5

→ x² + 2(4/2)x = 5

→ x² + 2(2)x + 2² = 5 + 2²

→ (x + 2)² = 9

→ x + 2 = ±3

Case 1: If 3 is positive,

→ x = 3 - 2 = 1

Case 2: If 3 is negative,

→ x = - 3 - 2 = - 5

Hence x = - 5 and 1

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