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Find the discriminant of the equation $-2x^2+12x+5=0$

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 Final Answer

$184$
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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.

$D=b^2-4ac$

Learn how to solve discriminant of quadratic equation problems step by step online. Find the discriminant of the equation -2x^2+12x+5=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=-2, b=12 and c=5. Replacing the values of a, b and c in the previous formula, we obtain. Multiply -1 times 4. Multiply -4 times 2.

 Final Answer

$184$

 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 -2x^2+12x=0 using the definitionFind the rootsFind break even points

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1
2
3
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

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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