Find the roots of $\left(x-5\right)\left(x+5\right)+1\cdot -5\left(x-6\right)=x-4$

Step-by-step Solution

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Final answer to the problem

$x=3,\:x=3$
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Step-by-step Solution

How should I solve this problem?

  • Find the roots
  • 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 break even points
  • Load more...
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1

Multiply $1$ times $-5$

$\left(x-5\right)\left(x+5\right)-5\left(x-6\right)=x-4$

Learn how to solve equations problems step by step online.

$\left(x-5\right)\left(x+5\right)-5\left(x-6\right)=x-4$

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Learn how to solve equations problems step by step online. Find the roots of (x-5)(x+5)+1*-5(x-6)=x-4. Multiply 1 times -5. The sum of two terms multiplied by their difference is equal to the square of the first term minus the square of the second term. In other words: (a+b)(a-b)=a^2-b^2.. Multiply the single term -5 by each term of the polynomial \left(x-6\right). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.

Final answer to the problem

$x=3,\:x=3$

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Function Plot

Plotting: $\left(x-5\right)\left(x+5\right)+1\cdot -5\left(x-6\right)-x+4$

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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: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

Used Formulas

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