Completing the square for a quadratic in standard form, x2 + bx +c requires writing it in vertex form

( x-h )2 + k.

You are watching: Solve x2 + 6x + 4 = 0.

The choice of h and k depends on factoring the original trinomial as a perfect square.

1.The first step is to set the expression to zero

x2+6x+4=0

2.The second step is to add constants to both sides to make the expression a perfect square trinomial.

In this case, adding 5 to both sides makes it a perfect square because:

x2+2(3x) + ( 3)2 =0 + 5 or x2+ 2(3x) + 4 + 5 = 0+ 5

3.We have now used the mathematical identity: ( x+ a) 2 = x2 + 2ax + a2 to simplify our problem

4.The problem to solve becomes : x2+2(3x) + ( 3)2 = (x + 3) 2= 5

5.Taking the square root of both sides: sqrt((x+3)2 ) = +/- sqrt(5) or x+3 = +/- sqrt(5)

6.Solving for x: x = -3 - sqrt(5) and x = -3 + sqrt(5)

Upvote • 0 Downvote
More
Report

h = to what ??k =5
Reharbor

so in vertex form the equation is (x--3)^2 +5. Is a upward parabola centered at x = -3 and is shifted vertically by 5 .
Reharbor

h =-3; k = 5
Report

standard form is (x-h)^2 + k in this case : h = -3 and k = 5
Reharbor

standard form is ( x -- 3)^2 + -5 . h = -3 and k = -5 .upward parabola centered at 0. passing thru x = -3 - sqrt(5) and -3+sqrt(5). Minimum at x = 0. where y = -5.
Reharbor

## Still looking for help? Get the right answer, fast.

Get a free answer to a quick problem. Most questions answered within 4 hours.

OR
Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.

¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊

### RELATED TOPICS

Math Algebra 1 Algebra 2 Calculus Trigonometry Algebra Word Problem Pre Calculus Functions College Algebra ... Math Help Math Question Math Equations Pre Calculus College Precalculus Homework Mathematics Math Problem Math Help For College Precalc

### RELATED QUESTIONS

Two forces of 55N and 85N act on an object simultaneously and the resultant force is 125N. What is the measurement of the angle between the two forces?

What are the values of all the cube roots (Z = -4v3 - 4i)?

1/x-1/2=2-x/2x

I need help trying to sole tan^2 x =1 where x is more than or equal to 0 but x is less than or equal to pns

how do i solve these?

### RECOMMENDED TUTORS Gabe D.

5 (13)

Garrett H.

5.0 (394)

Abigail C.

5.0 (3,543)
See more tutorns

### find an online tutor

See more: How Do You Say Cutie In French ? How To Say Cutie In French

Please provide a valid phone number.
Get to know uns
Learn with us
Work with uns