Solve the quadratic equation $5x^2+14x+28=0$

Step-by-step Solution

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Final answer to the problem

$x=-\frac{7}{5}+\sqrt{2}i,\:x=-\frac{7}{5}-\sqrt{2}i$
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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
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1

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

$5\left(x^2+\frac{14}{5}x+\frac{28}{5}\right)=0$

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$5\left(x^2+\frac{14}{5}x+\frac{28}{5}\right)=0$

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Learn how to solve integral calculus problems step by step online. Solve the quadratic equation 5x^2+14x+28=0. 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. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{14}{5}x+\frac{49}{25}. Divide both sides of the equation by 5.

Final answer to the problem

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

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Function Plot

Plotting: $5x^2+14x+28$

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2
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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

How to improve your answer:

Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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