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3 years ago

Solve the equation. 2x squared-3x+1=0

1 answer:

4 0

$2x^2-3x+1=0\\\\2x^2-2x-x+1=0\\\\2x(x-1)-1(x-1)=0\\\\(x-1)(2x-1)=0\iff x-1=0\ \vee\ 2x-1=0\ \ \ \ |+1\\\\x=1\ \vee\ 2x=1\ \ \ |:2\\\\\boxed{x=1\ \vee\ x=0.5}$

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Simplify

melomori [17]

Answer: $4\sqrt{3}$

Step-by-step explanation:

For this exercise it is important to remember the following:

$i=\sqrt{-1} \\\\i^2=-1$

Given the following expression:

$-2i\sqrt{-12}$

You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:

1. Replace $\sqrt{-1}$ with $i$ and simplify:

$(-2i)(i)\sqrt{12}=-2i^2\sqrt{12}=-2(-1)\sqrt{12}=2\sqrt{12}$

2. Descompose 12 into its prime factors:

$12=2*2*3=2^2*3$

3. Substitute into the expression:

$=2\sqrt{2^2*3}$

4. Since $\sqrt[n]{a^n}=a$ , you can simplify it:

$=(2)(2)\sqrt{3}=4\sqrt{3}$

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3 years ago

What is the total number of students in the dataset?

Allushta [10]

total number of student in the data set in the dataset is 90

5 0

2 years ago

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Laurie bought 4 yards of brown braid trim, 7 yards of black lace, and 13 yards of gold ribbon. She paid $2.40 for each yard of r

Elza [17]

Answer:

24 yards, $77.40

Step-by-step explanation:

1) brown braid : 4*2.40 = $16.80

black lace : 7*2.40 = $29.40

gold ribbon : 13*2.40 = $31.20

2) 4 + 7 + 13 = 24 yards <

3) 16.80 + 29.40 + 31.20 = $77.40 <

4 0

3 years ago

What property was applied to solve the equation below?

love history [14]

Hi there!

I believe the answer would be A. Addition Property of Equality

Adding 0.36 to both sides of the equation and x being -5 means that the value is true, making it the A.

Hope this helps !

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3 years ago

Round to nearest hundredth 76.684

alexgriva [62]

i think the answer is 76.68

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3 years ago

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