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Solve the quadratic equation $x^2+2x=10$

Step-by-step Solution

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Final Answer

$x=2.316625,\:x=-4.316625$
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Step-by-step Solution

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

$x^2+2x+1-1=10$

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$x^2+2x+1-1=10$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+2x=10. Factor the polynomial x^2+2x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 2. Now, we can factor x^2+2x+1 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. The square root of 1 is . We need to isolate the dependent variable x, we can do that by simultaneously subtracting -1 from both sides of the equation.

Final Answer

$x=2.316625,\:x=-4.316625$

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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

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: $x^2+2x-10$

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1
2
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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

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Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.

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