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Find the discriminant of the equation $\frac{6a^2}{12}a+12b+\frac{2b^2}{12}a+12b$

Step-by-step Solution

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Final answer to the problem

$\frac{1}{36}b^{4}-576b$
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Step-by-step Solution

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The discriminant (D) of a quadratic polynomial of the form $ax^2+bx+c$ is calculated using the following formula, where $a$, $b$ and $c$ are the coefficients of the corresponding terms

$D=b^2-4ac$

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$D=b^2-4ac$

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Learn how to solve problems step by step online. Find the discriminant of the equation (6a^2)/12a+12b(2b^2)/12a12b. The discriminant (D) of a quadratic polynomial of the form ax^2+bx+c is calculated using the following formula, where a, b and c are the coefficients of the corresponding terms. From the equation, we see that a=6, b=\frac{2b^2}{12} and c=12b+12b. Replacing the values of a, b and c in the previous formula, we obtain. Multiply 4 times -6. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.

Final answer to the problem

$\frac{1}{36}b^{4}-576b$

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

SimplifyFactorFactor by completing the squareFind the integralFind the derivativeFind 6a^2/12a+12b using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even points

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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

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