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2 years ago

Solve 9x2 + 6 = 12x

Mathematics

1 answer:

Oksana_A [137]2 years ago

7 0

Step-by-step explanation:

9x² + 6 = 12x

3x² + 2 = 4x

3x² − 4x + 2 = 0

Use quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)

x = [ 4 ± √(16 − 24) ] / 6

x = [ 4 ± √(-8) ] / 6

x = (4 ± 2i√2) / 6

x = (2 ± i√2) / 3

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Charlie likes to eat 3/4 cup of cereal each morning for breakfast. How many servings will he be able to eat from a box that has

Naddika [18.5K]

He will be able to eat 16 serving from the box that has 12 cups of cereal in it

Step-by-step explanation:

Charlie likes to eat 3/4 cup of cereal each morning for breakfast

We need to find how many servings he will be able to eat from a box

that has 12 cups of cereal in it

To solve the problem

Divide the number of cubs in the box by the quantity he like to eat
If the divisor in the division problem is a fraction we change the division to multiplication and reciprocal the divisor

∵ There are 12 cups in the box

∵ Charlie likes to eat $\frac{3}{4}$ cup

- Divide the number of the cups in the box by $\frac{3}{4}$

∴ The number of serving = 12 ÷ $\frac{3}{4}$

Change the division sign to multiplication sign and reciprocal $\frac{3}{4}$

∵ The reciprocal of $\frac{3}{4}$ = $\frac{4}{3}$

∴ The number of serving = 12 × $\frac{4}{3}$

∴ The number of serving = $\frac{48}{3}$

∴ The number of serving = 16

He will be able to eat 16 serving from the box that has 12 cups of cereal in it

Learn more:

You can learn more about fractions in brainly.com/question/1312102

#LearnwithBrainly

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2 years ago

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Solve the equation by completing the square

Nana76 [90]

Answer:

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Step-by-step explanation:

Given

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s² + 2s = 6

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add ( half the coefficient of the s- term )² to both sides

s² + 2(1)s + 1 = 6 + 1

(s + 1)² = 7 ( take the square root of both sides )

s + 1 = ± $\sqrt{7}$ ( subtract 1 from both sides )

s = - 1 ± $\sqrt{7}$

Thus

s = - 1 - $\sqrt{7}$ , s = - 1 + $\sqrt{7}$

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2 years ago

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Step-by-step explanation:

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2 years ago