Can someone solve this using completing the square method? MATH problem?

x² + 5x + 4 = 0

x² + 5x = -4

x² + 5x + (2.5)² = 2.25

(x + 2.5)² = 2.25

x + 2.5 = ±√(2.25)

x = -2.5±1.5

x = -1 or x = -4

♣♦

Here we go:

x² + 5x + 4 = 0

x² + 5x = -4²

x² + 5x + (5/2)² = -4 + (5/2)²

(x + (5/2) )² = 9/4

As a decimal:

x² + 5x + (2.5)² = -4 + (2.5)²

(x + 2.5)² = 2.25

x + 2.5 = √2.25

x = √2.25 - 2.5

x = plus or minus 1.5 - 2.5

x either = -4 or -1

Check your answer buy putting -4 and -1 into the original x² + 5x + 4 = 0 equation.

Hope this helps, as it can be a bit hard to understand via typing.

X²+5X+4=0, subtract 4 on both sides, or simply transpose 4 to the right side

X²+5X + 4-4=0 - 4

X²+5X = -4, we know that 5X is twice the product of the 1st and 2nd term i.e. 5X = 2(X)(?), ? = 5/2

So:

(X + 5/2)^2 = -4 + (5/2)^2

then take √

of both sides,

X + 5/2 = + or minus sqrt[-4 + 25/4] = sqrt [(-16 + 25)/4] = 3/2

the X = -(5/2) + 3/2 = -1

or X = -(5/2) - 3/2 = -4

Please recheck especially algebraic signs.

Cheers!

a=1 b=5 c=4

x²+5x=-4

x²+5x+(b/2)² = -4 + (b/2)²

x²+5x+6.25 = -4+6.25

x²+5x+6.25 = 2.25

(x+2.5)²=2.25 =====> (x+2.5)² came from factoring x²+5x+6.25 because 2.5+2.5 = 5 and 2.5 x 2.5 = 6.25

x+2.5=√2.25

x = -2.5 + or - √2.25 By + or -, I mean plus on top of the minus... You know what I mean.

x1=-2.5+1.5 = -1

x2 = -2.5 - 1.5 = -4

x = -1, -4

Okay basically for completing the square method, you have to use (a-x)^2+b.

Then expand it.

Therefore you should get X²+5X+4= x^2-2ax+a^2+b

Next, compare the equation.

5x=-2ax

a=5/2

=2.5

(2.5)^2+b=4.

b= -2.25

Therefore X²+5X+4=(2.5-x)^2-2.25

Hope I helped