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

Step-by-step Solution

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Final answer to the problem

$x=2+\sqrt{7},\:x=2-\sqrt{7}$
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Step-by-step Solution

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  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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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 $-4$

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

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

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Learn how to solve 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. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -4 from both sides of the equation. Canceling terms on both sides.

Final answer to the problem

$x=2+\sqrt{7},\:x=2-\sqrt{7}$

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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

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Function Plot

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

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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

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