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Solve the quadratic equation $q^2+8q+16-216+2q=0$

Step-by-step Solution

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Solution

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Final Answer

$q=10,\:q=-20$
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Step-by-step Solution

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Subtract the values $16$ and $-216$

$-200+q^2+8q+2q=0$

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$-200+q^2+8q+2q=0$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation q^2+8q+16+-2162q=0. Subtract the values 16 and -216. Combining like terms 8q and 2q. Sort the polynomial -200+q^2+10q in descending order to handle it more easily. Factor the trinomial q^2+10q-200 finding two numbers that multiply to form -200 and added form 10.

Final Answer

$q=10,\:q=-20$

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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 qFind the rootsSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $q^2+8q+16-216+2q$

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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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$x^2-8x-1008=0$

Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.

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