2a² + 4a + 5 = 0

kuCAu

kuCAu

Answered question

2021-03-05

2a²+4a+5=0

Answer & Explanation

coffentw

coffentw

Skilled2021-03-06Added 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.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Here is video explanation

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