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2 years ago

Which equation has the solutions x=1+/- 5?

Mathematics

1 answer:

nikitadnepr [17]2 years ago

4 0

Answer:

$x^{2} -2x-4=0$

Solving Steps

Use the quadratic formula

$x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}$

Multiply / Remove the parentheses / Evaluate

$x=\frac{2(+/-)\sqrt{4+16} }{2}$

Calculate

$x=\frac{2(+/-)\sqrt{20} }{2}$

Separate the solutions

$x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}$

Simplify

$x=1+\sqrt{5} \\x=1-\sqrt{5}$

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2 years ago

Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the

dmitriy555 [2]

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3 years ago

There are four nickels and six dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then

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3 years ago

*Translate into an algebraic expression: How much 50% sugar syrup can you make if you have x grams of sugar?

Irina-Kira [14]

Answer:

w = x/50% = x/50/100

Step-by-step explanation:

We would turn the above question into an algebraic expression using variables.

To make a sugar syrup, we need sugar and water to form the solution.

Amount of sugar = x gram

Let amount of water = w gram

Sugar syrup solution = 50%

Sugar syrup solution = (amount of sugar)/(amount of water) × 100

50% = x/w × 100%

50% = x/w

Making w subject formula

w = x/50%

w = x/50/100

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2 years ago