Solve the quadratic equation $-5x^2+100x-495=0$

Step-by-step Solution

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Final answer to the problem

$x=11,\:x=9$
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Step-by-step Solution

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  • Solve for x
  • Find the derivative using the definition
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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($-5$) to all terms

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$-5\left(x^2-20x+99\right)=0$

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Learn how to solve completing the square problems step by step online. Solve the quadratic equation -5x^2+100x+-495=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-5) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-20x+100. Subtract the values 99 and -100.

Final answer to the problem

$x=11,\:x=9$

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Function Plot

Plotting: $-5x^2+100x-495$

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Answer Assistant

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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

How to improve your answer:

Main Topic: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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