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Solve the quadratic equation $-5x^2+25x=0$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=0,\:x=5$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

Factor the polynomial $-5x^2+25x$ by it's greatest common factor (GCF): $5x$

Learn how to solve logarithmic differentiation problems step by step online.

$5x\left(-x+5\right)=0$

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Unlock the first 3 steps of this solution

Learn how to solve logarithmic differentiation problems step by step online. Solve the quadratic equation -5x^2+25x=0. Factor the polynomial -5x^2+25x by it's greatest common factor (GCF): 5x. Divide both sides of the equation by 5. Simplify the fraction \frac{5x\left(-x+5\right)}{5} by 5. Divide 0 by 5.

Final answer to the problem

$x=0,\:x=5$

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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

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Function Plot

Plotting: $-5x^2+25x$

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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
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

How to improve your answer:

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Main Topic: Logarithmic Differentiation

The logarithmic derivative of a function f(x) is defined by the formula f'(x)/f(x).

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