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Solve the quadratic equation $x^2+6x+8=5$

Step-by-step Solution

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Final answer to the problem

$x=-0.5505103,\:x=-5.4494897$
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Step-by-step Solution

How should I solve this problem?

  • Solve by completing the square
  • Solve for x
  • Find the roots
  • Solve by factoring
  • Solve by quadratic formula (general formula)
  • Find break even points
  • Find the discriminant
  • Exact Differential Equation
  • Linear Differential Equation
  • Separable Differential Equation
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Can't find a method? Tell us so we can add it.
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Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side

$x^2+6x=5-8$

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$x^2+6x=5-8$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+6x+8=5. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values 5 and -8. Factor the polynomial x^2+6x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 6. Now, we can factor x^2+6x+9 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.

Final answer to the problem

$x=-0.5505103,\:x=-5.4494897$

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Function Plot

Plotting: $x^2+6x+8-5$

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Answer Assistant

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.

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