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Find the roots of $x^2+5x+10=60$

Step-by-step Solution

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Final answer to the problem

$x=5,\:x=-10$
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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...
Can't find a method? Tell us so we can add it.
1

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

$x^2+5x=60-10$

Learn how to solve differential calculus problems step by step online.

$x^2+5x=60-10$

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Learn how to solve differential calculus problems step by step online. Find the roots of x^2+5x+10=60. 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. Subtract the values 60 and -10. Rewrite the equation. Factor the trinomial x^2+5x-50 finding two numbers that multiply to form -50 and added form 5.

Final answer to the problem

$x=5,\:x=-10$

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Function Plot

Plotting: $x^2+5x+10-60$

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Answer Assistant

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Got a different answer? Verify it!

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

How to improve your answer:

Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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