Solve the quadratic equation $4x^2-8x=2$

Step-by-step Solution

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Final answer to the problem

$x=\frac{4+\sqrt{24}}{4},\:x=\frac{4-\sqrt{24}}{4}$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-8x$ from both sides of the equation

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$4x^2-8x+8x=2+8x$

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Learn how to solve quadratic formula problems step by step online. Solve the quadratic equation 4x^2-8x=2. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -8x from both sides of the equation. Canceling terms on both sides. Factor the polynomial 2+8x by it's greatest common factor (GCF): 2. Simplify, dividing both sides of the equality by .

Final answer to the problem

$x=\frac{4+\sqrt{24}}{4},\:x=\frac{4-\sqrt{24}}{4}$

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Function Plot

Plotting: $4x^2-8x-2$

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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 Formula

In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are other ways to solve the quadratic equation instead of using the quadratic formula, such as factoring, completing the square, or graphing. Using the quadratic formula is often the most convenient way.

Used Formulas

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