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Solve the quadratic equation $x^2-4x=3$

Step-by-step Solution

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Final Answer

$x=4.645751,\:x=-0.645751$
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Step-by-step Solution

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Factor the polynomial $x^2-4x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $-4$

$x^2-4x+4-4=3$

Learn how to solve integrals of exponential functions problems step by step online.

$x^2-4x+4-4=3$

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Learn how to solve integrals of exponential functions problems step by step online. Solve the quadratic equation x^2-4x=3. Factor the polynomial x^2-4x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -4. Now, we can factor x^2+-4x+4 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. The square root of 4 is . Multiply -1 times 2.

Final Answer

$x=4.645751,\:x=-0.645751$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $x^2-4x-3$

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Answer Assistant

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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: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

Used Formulas

6. See formulas

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