Question

solve the roots of X2 - 4x - 5 = 0. by using the completing the square.

Answer 1

Here the value of x will be 1 or -5

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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Answer 2

Answer:

X²-4X-5=0

X²-2.2.X+2²-5-2²=0

(X-2)²-5-4=0

(X-2)²-9=0

(X-2)²=9

(X-2)²=(+-9)²

X-2=+-3

X=+-3+2

X=3+2 or X=-3+2

X=5 or X=-1