Solve the quadratic equation $10x^2-5x=9$

Step-by-step Solution

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Final answer to the problem

$x=\frac{1}{4}+\sqrt{2}i,\:x=\frac{1}{4}-\sqrt{2}i$
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Step-by-step Solution

How should I solve this problem?

  • Solve by completing the square
  • 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
  • Load more...
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Rewrite the equation

$10x^2-5x-9=0$

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$10x^2-5x-9=0$

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Unlock the first 3 steps of this solution

Learn how to solve differential calculus problems step by step online. Solve the quadratic equation 10x^2-5x=9. Rewrite the equation. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (10) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{1}{2}x+\frac{1}{16}.

Final answer to the problem

$x=\frac{1}{4}+\sqrt{2}i,\:x=\frac{1}{4}-\sqrt{2}i$

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Function Plot

Plotting: $10x^2-5x-9$

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Answer Assistant

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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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