ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

Find the roots of $5x^2+7x+10=\frac{4}{5}$

Go!
Symbolic mode
Text mode
Go!
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

 Final answer to the problem

$x=\frac{-\frac{7}{5}+2.32379i}{2},\:x=\frac{-\frac{7}{5}-2.32379i}{2}$
Got another answer? Verify it here!

 Step-by-step Solution 

How should I solve this problem?

• Find the roots
• Solve for x
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find break even points
Can't find a method? Tell us so we can add it.
1

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

$5x^2+7x=\frac{4}{5}-10$

Learn how to solve equations problems step by step online.

$5x^2+7x=\frac{4}{5}-10$

Learn how to solve equations problems step by step online. Find the roots of 5x^2+7x+10=4/5. 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. Subtract the values 0.8 and -10. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 7x from both sides of the equation. Canceling terms on both sides.

 Final answer to the problem

$x=\frac{-\frac{7}{5}+2.32379i}{2},\:x=\frac{-\frac{7}{5}-2.32379i}{2}$

 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

Go!
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

 Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.