ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

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

Step-by-step Solution

Go!
Math mode
Text mode
Go!
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

 Solution

$x=6.391165,\:x=-0.391165$
Got another answer? Verify it here!

 Step-by-step Solution 

Specify the solving method

1

For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by $-1$

$2x^2-12x-5=0$

Learn how to solve problems step by step online.

$2x^2-12x-5=0$

Learn how to solve problems step by step online. Find the roots of -2x^2+12x+5=0. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-6xx+9.

$x=6.391165,\:x=-0.391165$

 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 xSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

SnapXam A2

Go!
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

 Join 500k+ students in problem solving.

Without automatic renewal.
Create an Account