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# Solve the quadratic equation $10x^2+9x+12=0$

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##  Final Answer

$x=\frac{-9+19.974984i}{20},\:x=\frac{-9-19.974984i}{20}$
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##  Step-by-step Solution 

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To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=10$, $b=9$ and $c=12$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-9\pm \sqrt{9^2-4\cdot 10\cdot 12}}{2\cdot 10}$

Learn how to solve quadratic equations problems step by step online.

$x=\frac{-9\pm \sqrt{9^2-4\cdot 10\cdot 12}}{2\cdot 10}$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 10x^2+9x+12=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=10, b=9 and c=12. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Calculate the power \sqrt{-399} using complex numbers.

##  Final Answer

$x=\frac{-9+19.974984i}{20},\:x=\frac{-9-19.974984i}{20}$

##  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

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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7
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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: 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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