2a² + 4a + 5 = 0

kuCAu 2021-03-05 Answered
2a²+4a+5=0
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

coffentw
Answered 2021-03-06 Author has 103 answers

We are given: 2a²+4a+5=0
Solve by completing the square. First, we write the equation in the form x²+bx=c. Subtract 5 from both sides: 2a²+4a=5
Divide both sides by 2: a²+2a=(52)
Complete the square by adding (b2)2 on both sides. Here, b=2 so we add (22)2=1 to both sides.
a²+2a+1=(52)+1
(a+1)²=(32)
Take the square root of both sides: a+1=±32
The square root of a negative number is not defined so the equation has no real solution.

Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-08-10 Author has 2027 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more