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Find the discriminant of the equation $\sqrt{\left(\frac{1}{1666}\right)}\frac{\frac{\frac{743}{500}}{\frac{2}{125}}\left(2y^2+10y\right)^{\frac{5}{3}}}{\sqrt[3]{\left(10+2\sqrt{5}y\right)^{2}}}-225$

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Solution

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Final Answer

$1800$
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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

$D=b^2-4ac$

Learn how to solve discriminant of quadratic equation problems step by step online.

$D=b^2-4ac$

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Learn how to solve discriminant of quadratic equation problems step by step online. Find the discriminant of the equation ((743/500)/2/125(2y^2+10y)^(5/3))/((10+25^1/2y)^2/3)1/1666^1/2-225. 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=2, b=0 and c=-225. Replacing the values of a, b and c in the previous formula, we obtain. Multiply -1 times 4. Multiply -4 times 2.

Final Answer

$1800$

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 (743/500)/0.016(2y^2+10y)^(5/3)/((10+25^0.5)^0.6667)0.0006^0.5-225 using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even points

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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
D□x
∫
∫◻
|◻|
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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Main Topic: Discriminant of Quadratic Equation

Quadratic equations are those algebraic equations of the form ax^2+bx+c, where a, b, and c are constant values. The discriminant of a quadratic equation is calculated using the formula D=b^2-4ac, and it helps us to determine how many roots an equation of this type has. When D>0 the equation has two real roots, when D<0 the equation has no real roots, and when D=0 the equation has a repeated real root.

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