SOLUTION: Can you please help show me how to solve this quadratic equation by completing the square.
a^2 - 4a + 5 = 0
Algebra.Com
Question 170893: Can you please help show me how to solve this quadratic equation by completing the square.
a^2 - 4a + 5 = 0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve this quadratic equation by completing the square.
a^2 - 4a + 5 = 0
---
a^2 - 4a + ? = -5 + ?
a^2 -4a + (-4/2)^2 = -5 + (-4/2)^2
a^2 - 4a + 4 = -5 + 4
a^2 - 4a + 4 = -1
(a-2)^2 = -1
a-2 = i or a-2 = -i
a = 2+i or a = 2-i
======================
Comment: If you have not studied complex numbers the
answer you would get would be "no solution".
======================
Cheers,
Stan H.
RELATED QUESTIONS
Can you please show me how to work this quadratic equation by completing the square... (answered by jim_thompson5910)
Can you please help show me how to solve this quadratic equation by completing the square
(answered by jim_thompson5910)
Can you please help show me how to solve this quadratic equation by completing the... (answered by stanbon)
Can you please show me how to work this quadratic equation by completing the square... (answered by jim_thompson5910)
Can you please help show me how to solve this quadratic equation by completing the... (answered by jojo14344)
Please help show me how to solve the quadratic equation by completing the square
z^2 + (answered by jim_thompson5910)
Please help show me how to solve this quadratic equation by completing the square.
m^2 (answered by scott8148,mathbird)
Solve the quadratic equation by completing the square:
x^2 - 6x - 3 = 0
Can someone (answered by Nate)
Solve the quadratic equation by completing the square.
x^2-6x-3=0
Can you help me... (answered by jim_thompson5910)