Question

X^2-x-3=0 by completing the square method

Answer 1

Answer:

x= (√13 + 1)/2 or x = (-√13 + 1)/2

Step-by-step explanation:

Completing square method:

x^2-x-3=0

=> (x)^2-2×(x)×(1/2)+(1/2)^2-(1/2)^2-3=0

=> (x-1/2)^2=3+(1/2)^2=3+1/4=13/4=(+-√13/2)^2

=> x-1/2 = +-√13/2

=> x-1/2 = +√13/2 or x-1/2 = -√13/2

=> x= √13/2 + 1/2 or x = -√13/2 + 1/2

=> x= (√13 + 1)/2 or x = (-√13 + 1)/2