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Solve the inequality $x^2+x-5<0$

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Solution

Final answer to the problem

$x<\frac{\sqrt{21}-1}{2}$
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Step-by-step Solution

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Learn how to solve problems step by step online. Solve the inequality x^2+x+-5<0. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+x+\frac{1}{4}. Calculate the power \sqrt{\frac{1}{4}}. Simplify the addition \left(x+\frac{1}{2}\right)^2-5-\frac{1}{4}.

Final answer to the problem

$x<\frac{\sqrt{21}-1}{2}$

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Function Plot

Plotting: $x<\frac{\sqrt{21}-1}{2}$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻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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