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Solve the quadratic equation $5x^2+7x+10=\frac{4}{5}$

Step-by-step Solution

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Final answer to the problem

$x=-\frac{7}{10}+1.161895i,\:x=-\frac{7}{10}-1.161895i$
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Step-by-step Solution

How should I solve this problem?

  • Solve by completing the square
  • 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 the roots
  • Load more...
Can't find a method? Tell us so we can add it.
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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

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

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

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 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. Rewrite the equation. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (5) to all terms.

Final answer to the problem

$x=-\frac{7}{10}+1.161895i,\:x=-\frac{7}{10}-1.161895i$

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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

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Function Plot

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

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Answer Assistant

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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

How to improve your answer:

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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