Solve the quadratic equation $21x^2+12x-10=0$

Step-by-step Solution

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Final answer to the problem

$x=-\frac{2}{7}+\sqrt{2}i,\:x=-\frac{2}{7}-\sqrt{2}i$
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Step-by-step Solution

How should I solve this problem?

  • 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 $a$ ($21$) to all terms

$21\left(x^2+\frac{4}{7}x-\frac{10}{21}\right)=0$

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$21\left(x^2+\frac{4}{7}x-\frac{10}{21}\right)=0$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 21x^2+12x+-10=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (21) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{4}{7}x+\frac{4}{49}. Divide both sides of the equation by 21.

Final answer to the problem

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

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Function Plot

Plotting: $21x^2+12x-10$

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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: 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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