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# Solve the inequality $y^2-5y>-3$

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##  Final answer to the problem

$y>\frac{\sqrt{13}+5}{2}$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Prove from LHS (left-hand side)
Can't find a method? Tell us so we can add it.
1

Factor the polynomial $y^2-5y$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $-5$

$y^2-5y+\frac{25}{4}- \frac{25}{4}>-3$

Learn how to solve problems step by step online.

$y^2-5y+\frac{25}{4}- \frac{25}{4}>-3$

Learn how to solve problems step by step online. Solve the inequality y^2-5y>-3. Factor the polynomial y^2-5y. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -5. Now, we can factor y^2+-5x+\frac{25}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Multiply the fraction and term in - \frac{5}{2}. Multiply the fraction and term in - \frac{25}{4}.

##  Final answer to the problem

$y>\frac{\sqrt{13}+5}{2}$

##  Explore different ways to solve this problem

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

SnapXam A2

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1
2
3
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