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Find the discriminant of the equation $15x^2-30x^2+6x+288=0$

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Solution

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Final Answer

$-17244$
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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 classify algebraic expressions problems step by step online.

$D=b^2-4ac$

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Learn how to solve classify algebraic expressions problems step by step online. Find the discriminant of the equation 15x^2-30x^26x+288=0. 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=15, b=6 and c=288. Replacing the values of a, b and c in the previous formula, we obtain. Multiply 4 times 15. Multiply 60 times -288.

Final Answer

$-17244$

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 15x^2+-30x^2=0 using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even points

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Function Plot

Plotting: $-17244$

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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
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: Classify algebraic expressions

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

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