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

Step-by-step Solution

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Final Answer

$x>0.765564$
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Step-by-step Solution

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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2$) to all terms

$2\left(x^2+\frac{5}{2}x-\frac{5}{2}\right)>0$

Learn how to solve inequalities problems step by step online.

$2\left(x^2+\frac{5}{2}x-\frac{5}{2}\right)>0$

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Learn how to solve inequalities problems step by step online. Solve the inequality 2x^2+5x+-5>0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{5}{2}xx+\frac{25}{16}. Subtract the values -\frac{5}{2} and -\frac{25}{16}.

Final Answer

$x>0.765564$

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Function Plot

Plotting: $x>0.765564$

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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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Main Topic: Inequalities

In mathematics, an inequation is a statement that an inequality holds between two values. It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation.

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