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

Step-by-step Solution

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Solution

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Final Answer

$x=1.231071,\:x=-0.731071$
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Step-by-step Solution

Problem to solve:

$10x^2-5x=9$

Specify the solving method

1

Factor the polynomial $10x^2-5x$ by it's GCF: $5x$

$5x\left(2x-1\right)=9$

Learn how to solve quadratic equations problems step by step online.

$5x\left(2x-1\right)=9$

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Unlock the first 2 steps of this solution.

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 10x^2-5x=9. Factor the polynomial 10x^2-5x by it's GCF: 5x. Divide both sides of the equation by 5. Simplifying the quotients. Divide 9 by 5.

Final Answer

$x=1.231071,\:x=-0.731071$

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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

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even points

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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:

Quadratic equations

Used formulas:

1. See formulas

Time to solve it:

~ 0.09 s

Related topics:

Quadratic equationsEquationsQuadratic Formula

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