Solve the quadratic equation $2125x^2-84x-12495=0$

Step-by-step Solution

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Final answer to the problem

$x=\frac{42}{2125}+\sqrt{2}i,\:x=\frac{42}{2125}-\sqrt{2}i$
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Step-by-step Solution

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  • Solve by factoring
  • 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 $a$ ($2125$) to all terms

$2125\left(x^2-\frac{84}{2125}x-\frac{147}{25}\right)=0$

Learn how to solve classify algebraic expressions problems step by step online.

$2125\left(x^2-\frac{84}{2125}x-\frac{147}{25}\right)=0$

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Learn how to solve classify algebraic expressions problems step by step online. Solve the quadratic equation 2125x^2-84x+-12495=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2125) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{84}{2125}x+\frac{1764}{4515625}. Multiply the fraction and term in - \frac{42}{2125}.

Final answer to the problem

$x=\frac{42}{2125}+\sqrt{2}i,\:x=\frac{42}{2125}-\sqrt{2}i$

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Function Plot

Plotting: $2125x^2-84x-12495$

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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: Classify algebraic expressions

An algebraic expression can be classified as a monomial, binomial, trinomial or polynomial, depending on the number of terms.

Used Formulas

See formulas (1)

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