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Find the roots of $\left(y-2\right)\left(3y-1\right)=1000$

Step-by-step Solution

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Solution

Final Answer

$y=19.443093,\:y=-\frac{1403}{82}$
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Step-by-step Solution

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Multiplying polynomials $y-2$ and $3y-1$

$3\left(y-2\right)y-\left(y-2\right)=1000$

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$3\left(y-2\right)y-\left(y-2\right)=1000$

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Learn how to solve problems step by step online. Find the roots of (y-2)(3y-1)=1000. Multiplying polynomials y-2 and 3y-1. Simplify the product -(y-2). Multiply the single term 3y by each term of the polynomial \left(y-2\right). Combining like terms -6y and -y.

Final Answer

$y=19.443093,\:y=-\frac{1403}{82}$

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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 ySolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $\left(y-2\right)\left(3y-1\right)-1000$

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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

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