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Solve the quadratic equation $x^2-4x=-2x-1$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=1,\:x=1$
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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)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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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

$x^2-4x+2x=-1$

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Learn how to solve integrals of rational functions problems step by step online. Solve the quadratic equation x^2-4x=-2x-1. 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. Combining like terms -4x and 2x. Move everything to the left hand side of the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-2 and c=1. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

Final answer to the problem

$x=1,\:x=1$

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Function Plot

Plotting: $x^2-4x+2x+1$

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a
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x
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(◻)
+
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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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Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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