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Solve the quadratic equation $5x=x^2+4x-5$

Step-by-step Solution

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 Videos

$x=\frac{1+\sqrt{21}}{2},\:x=\frac{1-\sqrt{21}}{2}$
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 Step-by-step Solution 

Problem to solve:

$5x=x^2+4x-5$

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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

$5x-x^2-4x=-5$

Learn how to solve quadratic equations problems step by step online.

$5x-x^2-4x=-5$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 5x=x^2+4x-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. Combining like terms 5x and -4x. Rewrite the equation. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1.

$x=\frac{1+\sqrt{21}}{2},\:x=\frac{1-\sqrt{21}}{2}$

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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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a
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m
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v
w
x
y
z
.
(◻)
+
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◻/◻
/
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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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